What Is The Greatest Common Factor For The Numbers, 36,72, And 144?

12

Prime factorization:

36 = 2*2*3*3
72 = 2*2*2*3*3
144 = 2*2*2*2*3*3

What do they have in common?
two 2,s and two 3,s

greatest common factor = 2*2*3*3 = 36

It is the greatest number that divides all three:

36/36 = 1
72/36 = 2
144/36 = 4

36 = 2 x 2 x 3 x 3
72 = 2 x 2 x 2 x 3 x 3
144 = 2 x 2 x 2 x 2 x 3 x 3
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The GCF of 36,72,144 is:
2 x 2 x 3 x 3
= 36

36

36

72

36 = 4*3*3
72 = 4*3*3*2
144 = 4*3*3*4

GCF = 4*3*3 = 36

36

36

GCF=36, because all of them can be divided by 36 as the largest common number.