# What is the GCF of 21 and 35?

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

## Answer: GCF of 21 and 35 is 7

Two methods to find the GCF of 21 and 35 are explained below.

## Methods to find GCF of 21 and 35

- GCF of 21 and 35 by Prime Factorization
- GCF of 21 and 35 by Common Factors

### Method 1: GCF of 21 and 35 by Prime Factorization

### Represent 21 and 35 as a product of its prime factors.

Prime factorization of 21 is 3 x 7

Prime factorization of 35 is 5 x 7

The common factor in the prime factorization of 21 and 35 is 7

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

Since the common factor is 7, the GCF of 21 and 35 is 7

### Method 2: GCF of 21 and 35 by Listing the Common Factors

There are two common factors of 21 and 35, that are, 1 and 7

So, GCF of 21 and 35 is 7

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