# What is the GCF of 12 and 48?

GCF (Greatest Common Factor) of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 12 and 48 is 12

Lets see how to find the GCF of 12 and 48

## Explanation:

We can find the GCF by using the Prime factorization Method, Listing the common factors method, and Long division Method.

## GCF of 12 and 48 by Prime Factorization

Let us represent Twelve and Forty-eight as a product of its prime numbers

Prime factorization of Twelve is

12 = 2 × 2 × 3

Prime factorization of Forty-eight is

48 = 2 × 2 × 2 × 2 × 3

Thus, the Common factors = 2,2,3

GCF is the product of such factors.

GCF is 2 × 2 × 3 = 12

### GCF of 12 and 48 by Listing the Common Factors

Common Factors of 12 and 48:

1, 2, 3, 4, 6, 12

The greatest common factor is 12

GCF of Twelve and Forty-eight is **Twelve**