What is the greatest common factor of 48 and 60?

Answer 1

The Greatest Common Factor (GCF) of 48 and 60 is 12.

Factors of 48 are 1,2,3,4,6,8,12,24,48

Factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,60

To complete this question, it helps to do a prime factorization of both numbers. Prime factorizations are a unique representation of each number as a multiple of primes. For this problem:

48 = 2*2*2*2*3

60 = 2*2*3*5

Now we see what factors the two numbers have in common. In this case, both numbers have two 2s and one 3 in common. Therefore, the greatest common factor is the product of these common primes:

GCF = 2*2*3 = 12
12
The GCF is 12.
The HCF is 12.
12

Answer 2

The GCF is 12.