The GCF of 16 32 and 72<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The greatest common factor (GCF) of 16, 32, and 72 is 8<\/strong>.<\/p>\n\n\n\n The greatest common factor (GCF) of a set of numbers is the largest number that evenly divides all the given numbers. To determine the GCF of 16, 32, and 72, we follow these steps:<\/p>\n\n\n\n The common prime factor for all three numbers is ( 2 ).<\/p>\n\n\n\n The smallest power of ( 2 ) common to all numbers is ( 2^3 ).<\/p>\n\n\n\n The product of the common factors gives the GCF: To confirm, divide each number by 8:<\/p>\n\n\n\n Since 8 evenly divides all three numbers, it is the GCF.<\/p>\n\n\n\n The GCF is used in simplifying fractions, determining shared factors in problems, and optimizing solutions in real-world applications like dividing items into equal parts. Here, it shows the largest value by which 16, 32, and 72 can be uniformly divided.<\/p>\n","protected":false},"excerpt":{"rendered":" The GCF of 16 32 and 72 The Correct Answer and Explanation is: Correct Answer: The greatest common factor (GCF) of 16, 32, and 72 is 8. Explanation: The greatest common factor (GCF) of a set of numbers is the largest number that evenly divides all the given numbers. To determine the GCF of 16, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-169111","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169111","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=169111"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169111\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=169111"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=169111"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=169111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Correct Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation:<\/h3>\n\n\n\n
\n\n\n\nStep 1: Prime Factorization<\/strong><\/h4>\n\n\n\n
\n
( 16 = 2 \\times 2 \\times 2 \\times 2 = 2^4 )<\/li>\n\n\n\n
( 32 = 2 \\times 2 \\times 2 \\times 2 \\times 2 = 2^5 )<\/li>\n\n\n\n
( 72 = 2 \\times 2 \\times 2 \\times 3 \\times 3 = 2^3 \\times 3^2 )<\/li>\n<\/ol>\n\n\n\n
\n\n\n\nStep 2: Identify Common Factors<\/strong><\/h4>\n\n\n\n
\n
\n\n\n\nStep 3: Multiply Common Factors<\/strong><\/h4>\n\n\n\n
[ \\text{GCF} = 2^3 = 8 ]<\/p>\n\n\n\n
\n\n\n\nVerification<\/strong><\/h4>\n\n\n\n
\n
\n\n\n\nWhy the GCF is Useful<\/strong><\/h4>\n\n\n\n