Question #32c43

2 Answers
Jul 3, 2017

GCF = 6

Explanation:

First, list out the factors for each number (a factor is a number that goes evenly into another number).

Factors of #12:## 1, 2, 3, 4, color(red)6, 12#
Factors of #30:## 1, 2, 3, 5, color(red)6, 10, 15, 30#
Factors of #42:## 1, 2, 3, color(red)6, 7, 14, 21, 42#

12, 30, and 42 all have the factors 1, 2, 3, and 6 in common. The largest of these common factors (greatest common factor) is 6.

Hope this helps!

Jul 8, 2017

#GCF = 2xx3 =6#

Explanation:

Write each number as the product of its prime factors:

#" "12 = color(blue)(2)xx2xxcolor(red)(3)#
#" "30=color(blue)(2)" "xxcolor(red)(3)xx5#
#" "42 = ul(color(blue)(2)" "xxcolor(red)(3)" "7)#
#GCF = color(blue)(2)" "xxcolor(red)(3) =6#

Identify which factors are common #(2 and 3)#

Multiply them together to find the GCF.

#12,30 and 42# all divide by #6#