# What is the HCF of 2 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 2 and 8 is 2

We will explain two methods to find the HCF of 2 and 8

## Explanation:

The two methods that we are using to find HCF of 2 and 8 are shown below

- HCF of 2 and 8 by Listing the Common Factors
- HCF of 2 and 8 by Prime Factorization

### Method 1: HCF of 2 and 8 by Listing the Common Factors

The factors of 2 and 8 are shown below.

The common factors of 2 and 8 are 1 and 2.

Clearly, the greatest common factor is 2.

So, HCF of 2 and 8 is 2.

### Method 2: HCF of 2 and 8 by Prime Factorization

We will represent 2 and 8 as a product of their prime factors.

Prime factorization of 2 is 2

Prime factorization of 8 is 2 × 2 × 2

Common prime factor = 2

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

HCF of 2 and 8 is 2.

Irrespective of the method, the solution to our question HCF of 2 and 8 is the same.