Is 12 the gcf of 36 and 48?

Answer 1

The factors of 12 are:

1, 2, 3, 4, 6, 12

The factors of 48 are:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The common factors are:

1, 2, 3, 4, 6, 12

The Greatest Common Factor (GCF) is:

12

Answer 2

Short Answer: Yes. 12 is the largest factor that 36 and 48 have in common

Long Answer (Listing Factors):

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The largest factor that 36 and 48 have in common if 12.

Long Answer (Prime Factors):

Prime Factorization of 36: 2 * 2 * 3 * 3

Prime Factorization of 48: 2 * 2 * 2 * 2 * 3

The factors that 36 and 48 have in common are two 2s and a 3.

2 *2 * 3 = 12

12 is the GCF of 36 and 48.

Answer 3

Since 12 is a factor of 48, it is automatically the GCF.

Answer 4

It is 4

Answer 5

Yes