How do you find the GCF of #12ab, 18b#?

1 Answer
May 13, 2017

#GCF(12ab,18b)=color(red)(6b)#

Explanation:

#{: ("Prime factors of "12ab,color(white)("XX"),2,2,3,,a,b), ("Prime factors of "18b,,ul(2),ul(color(white)2),ul(3),ul(3),ul(color(white)a),ul(b)), ("Common prime factors",,color(red)2,color(white)(2),color(red)3,,,color(red)b) :}#

#GCF ("Greatest Common Factor") = "product of common prime factors"#

#color(white)("XXX")=color(red)2xxcolor(red)3xxcolor(red)b#

#color(white)("XXX")=color(red)(6b)#