{"id":2704,"date":"2021-10-12T18:27:56","date_gmt":"2021-10-12T18:27:56","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=2704"},"modified":"2022-03-01T17:33:29","modified_gmt":"2022-03-01T17:33:29","slug":"greatest-common-factor-gcf","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/greatest-common-factor-gcf\/","title":{"rendered":"Greatest Common Factor (GCF)"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n

GCF – Greatest Common Factor<\/h2>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]When looking at all the factors of two or more numbers, some factors are the same (or common). The largest of these common factors is the greatest common factor (GCF).[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]To find the greatest common factor<\/a> of two numbers:
\n1. List all the factors of each number.
\n2. Find the greatest factor they have in common[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]What is the greatest common factor of 42<\/strong> and 56<\/strong>?[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]To find the greatest common factor of 42 and 56:<\/p>\n

1. List all the factors of each number:<\/strong>
\nFactors of 42: 1, 2, 3, 6, 7, 14<\/span>, 21, 42
\nFactors of 56: 1, 2, 4, 7, 8, 14<\/span>, 28, 56<\/p>\n

2. Find the greatest factor they have in common.<\/strong>
\nGreatest Common Factor: 14<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Greatest Common Factor (GCF)[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 1<\/h5>\n

What is the greatest common factor of 40 and 48?<\/strong><\/span>
\nFactors of 40: <\/strong>1, 2, 4, 5, 8, 10, 20, 40
\nFactors of 48: <\/strong>1, 2, 3, 4, 6, 8, 12, 16, 24, 48
\n\"<\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/greatest-common-factor-gcf”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 2<\/h5>\n

Find the greatest common factor of 16 and 32<\/strong><\/span>
\nFill in the missing numbers.<\/strong>
\n\"<\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/greatest-common-factor-gcf”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 3<\/h5>\n

Find the greatest common factor of 20, 24 and 36<\/strong><\/span>
\nFill in the missing numbers.<\/strong>
\n\"<\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/greatest-common-factor-gcf”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 4<\/h5>\n

What is the greatest common factor of 16, 22 and 36 ?<\/strong><\/span>
\n\"<\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/greatest-common-factor-gcf”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_empty_space height=”10px”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]Multiple<\/strong> is a number that can be divided by another number a certain number of times without a remainder.<\/p>\n

Factor<\/strong> is one of two or more numbers that divides a given number without a remainder.<\/p>\n

Greatest Common Factor (GCF) <\/strong>– is the largest positive integer that divides evenly into all numbers with zero remainders.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1634191210795{border-radius: 10px !important;}”]Pre-requisite Skills<\/strong><\/span>
\nIdentify Factors<\/span><\/a>
\nIdentify Multiples<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1634131341853{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 10px !important;}”]Related Skills<\/strong><\/span>
\nPrime and Composite Numbers<\/a><\/span>
\nPrime Factorization<\/a><\/span>
\nLeast Common Multiple (LCM)<\/a><\/span>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Multiplication” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmultiplication|title:Multiplication||”][vc_btn title=”Numbers theory” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fnumbers-theory|title:Numbers%20theory||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"

[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] GCF – Greatest Common Factor [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]When looking at all the factors of two or more numbers, some factors are the same (or common). The largest of these common […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"\nGreatest Common Factor (GCF) | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The most common factor (GCF) of an entire number is the biggest factor all numbers have in common.. Learn More...\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/greatest-common-factor-gcf\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Greatest Common Factor (GCF)\" \/>\n<meta property=\"og:description\" content=\"The most common factor (GCF) of an entire number is the biggest factor all numbers have in common.. 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