# What is the GCF of 12 and 2?

GCF (Greatest Common Factor) of two numbers is the largest possible number that divides the two numbers exactly without leaving any remainder.

## Answer: GCF of 12 and 2 is 2

GCF of 12 and 2 is the highest number that divides 12 and 2 exactly leaving the remainder 0.

## Explanation:

We can find the GCF of 12 and 2 by the following two methods.

- Long Division method
- Prime factorization Method

### Method 1: GCF of 12 and 2 by Long Division

Divide 12 by 2 and check the remainder. Here, the remainder is 0. So, 2 is the greatest common factor of 12 and 2

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

We will express the numbers 12 and 2 as a product of their prime factors.

Prime factorization of 12 is 2 × 2 × 3

Prime factorization of 2 is 2

2 is the only common factor in both prime factorizations.

GCF is the product of the prime factors that are common to the prime factorization of 12 and 2.

So, GCF of 12 and 2 is 2.

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