144
72,2
36,2,2
18,2,2,2
9,2,2,2,2
3,3,2,2,2,2
144
12,12
3,4,12
3,4,3,4
3,2,2,3,4
3,2,2,3,2,2
144
18,8
9,2,8
3,3,2,8
3,3,2,4,2
3,3,2,2,2,2
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They are: 2*2*2*2*3*3 = 144 or in exponents as 24*32 = 144
The greatest common factor of 100 and 144 is 4.The factors of 100 are 2*2*5*5.The factors of 144 are 2*2*2*2*3*3.Since there are two sets of 2 in both 100 and 144, 2*2=4 and this is your greatest common factor.
144 12 12 4 3 4 3 2 2 2 2
2 x 2 x 2 x 2 x 3 x 3 = 144
2 x 2 x 2 x 2 x 3 x 3 = 144