# What is the HCF of 7 and 8?

HCF (Highest Common Factor) of two numbers is the largest possible number which divides the two numbers exactly without leaving any remainder.

## Answer: HCF of 7 and 8 is 1

We will explain two methods to find the HCF of 7 and 8

## Explanation:

The two methods that we are using to find HCF of 7 and 8 are shown below.

- HCF of 7 and 8 by Prime Factorization
- HCF of 7 and 8 by Listing the Common Factors

### Method 1: HCF of 7 and 8 by Prime Factorization

Represent 7 and 8 as a product of its prime factors.

Prime factorization of 7 is 7

Prime factorization of 8 is 2 × 2 × 2

Since there is no common factor between 7 and 8, therefore the HCF (7, 8) = 1

### Method 7: HCF of 7 and 8 by Listing the Common Factors

Factors of 7: ** 1**, 7

Factors of 8: ** 1**, 2, 4, 8,

The common factor of 7 and 8 is 1.

So, HCF of 7 and 8 is 1.

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