What is the greatest common factor of 60 and 72?

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.