# What is the GCF of 12 and 36?

Greatest Common Factor of two is the largest possible number which divides the two numbers exactly without any remainder, that is, leaving the remainder as 0

## Answer: GCF of 12 and 36 is 12

Two methods to find the GCF of 12 and 36 are explained below.

## Methods to find GCF of 12 and 36

- Prime Factorization
- Listing the Common Factors

### Method 1: GCF of 12 and 36 by Prime Factorization

Represent 12 and 36 as a product of its prime factors.

Prime factorization of 12 is 2 × 2 × 3

Prime factorization of 36 is 2 × 2 × 3 × 3

The common factor in the prime factorization of 12 and 36 is 2 × 2 × 3

GCF is the product of the factors that are common to each of the given numbers.

So, GCF of 12 and 36 is 12

### Method 2: GCF of 12 and 36 by Listing the Common Factors

There are six common factors of 12 and 36, that are, 1, 2, 3, 4, 6, and 12

So, GCF of 12 and 36 is 12

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