What is the greatest common factor of 60 and 72?

Answer 1

12

The GCF is 12.

Answer 2

The greatest common factor of 60 and 72 is 12.

The greatest common factor (GCF) is the largest positive integer that divides both numbers without a remainder. One technique to find the GCF is to compare the prime factorizations of the two numbers.

60 = 2*2*3*5 = 2^2*3*5

72 = 2*2*3*6 = 2^2*3*6

One can easily see that 60 and 72 share a multiplier of (2^2*3) = 12. Thus, the GCF of 60 and 72 is 12.
The GCF is 12.

Answer 3

The same as the gcf of 60 and 12 - where 12 is the remainder of the division of 72 by 60.

Answer 4

The greatest common factor is 12.