Question #41206

1 Answer
Sep 10, 2017

#"GCF"# of #12,42#, and #24##= 2xx3=6#

Explanation:

Write each number as the product of its prime factors:
Identify which factors they have in common.

For example, using the numbers #12,42 and 24#

#" "12 = color(red)(2)xx2color(white)(..m)xxcolor(red)(3)#
#" "42 =color(red)(2)color(white)(..mmm)xxcolor(red)(3) xx7#
#" "24 = ul(color(red)(2)xx2xx2xxcolor(red)(3))#
#GCF= color(red)(2)color(white)(..mmm)xxcolor(red)(3 = 6)#

The #GCF# is the product of all the common factors.