# What is the GCF of 6 and 12?

To find the Greatest Common Factor of two numbers, we have to determine the largest possible number which divides the two numbers exactly leaving the remainder as 0.

## Answer: GCF of 6 and 12 is 6

We can explain the GCF of 6 and 12 by the following two methods.

## Methods to find GCF of 6 and 12

- Listing the common factors method
- Prime factorization Method

### Method 1: GCF of 6 and 12 by Listing the Common Factors

The list of factors of 6 and 12 is shown below.

We can observe that the common factors of 6 and 12 are 1, 2, 3, and 6

The greatest common factor of 6 and 12 is 6

GCF of 6 and 12 is 6

### Method 2: GCF of 6 and 12 by Prime Factorization

Let us express the numbers, 6 and 12 as a product of its prime factors.

Prime factorization of 6 is 2 × 3

Prime factorization of 12 is 2 × 2 × 3

The common prime factors are 2 and 3

GCF is the product of the prime factors that are common to the prime factorization of 6 and 12

GCF of 6 and 12 is 6

You can find the GCF in any of the above methods but the solution will be the same.