# What is the GCF of 36 and 60?

Greatest Common Factor of 36 and 60 is the largest possible number which divides 36 and 60 exactly without any remainder.

## Answer: GCF of 36 and 60 is 12

Two methods to find the GCF of 36 and 60 are explained below.

## Methods to find GCF of 36 and 60

- Prime factorization Method
- Listing the common factors method
- Long division Method

### Method 1: GCF of 36 and 60 by Prime Factorization

We will represent 36 and 60 as a product of their prime factors.

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

Prime factorization of 60 is 2 × 2 × 3 × 5

The common factor in the prime factorization of 36 and 60 is given by 2 × 2 × 3

GCF is the product of the factors that are common to the numbers, 36 and 60

GCF of 36 and 60 is 12

### Method 2: GCF of 36 and 60 by Listing the Common Factors

Common Factors of 36 and 60: 1, 2, 3, 4, 6, and 12

The greatest common factor of 36 and 60 is 12

GCF of 36 and 60 is 12

Clearly, by both the methods we get the same answer, that is, GCF (36, 60) = 12