What is the greatest common factor of 36 and 60?

Answer 1

The greatest common factor of 36 and 60 is 12.

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

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

Thus, 12 is the greatest common factor (GCF).

Or, we can use the method of prime factorization to find the GCF 60=22x3x5 36=2232 So now we look at all the common factors, which are primes now that we have done the prime factorization.... they are 2 and 3 and we take the lowest exponent that appears in either of the prime factorization. That is to say in 60 we have 3 and in 36 we have 32 so we take the 3 and the the 3 squared! The 2 appears as 22 in each so that is the lowest or smallest exponent. The reason we take the smallest exponent is we are looking for common factors. So if they both have a 3 but only one has a 32 , then 3 is the common factor. The GCF is 3x22=12 Both methods are equally valid and both have advantages. The first lets you see all the factors, but it also requires listing them all. The second is often quicker, but requires prime factorization. Do both and check yourself!

• Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
• HCF (36, 60) = 12

The greatest common factor of the numbers 60 and 36 is 12.
The GCF is 12.
It is: 12

Answer 2

I think what you're looking for is the 'GCF'. That would be 12 .

Answer 3

GCF of 60 and 36 is 12.

Answer 4

gcf for 36 60 is 12.

Answer 5

12