# What is the HCF of 6 and 8?

The highest common factor or in general referred to as the greatest common divisor of two numbers 6 and 8 is the largest possible number which exactly divides both the numbers.

## Answer: The HCF of 6 and 8 is 2

We can find the HCF of the numbers in many ways the commonly used methods are listed below.

## Explanation:

Methods to find HCF of 6 and 8

- Prime factorization Method
- Listing the common factors method

### Method 1: How To Find HCF of 6 and 8 by Prime Factorization

In this process, we rewrite 6 and 8 as a product of its prime factors.

Prime factorization of 6 is 2 × 3

Prime factorization of 8 is 2 × 2 × 2

Common factor = 2

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

HCF is 2

### Method 2: How To Find HCF(6, 8) by Listing the Common Factors

In this method, the common factors of the given numbers are identified from the list of the factors of all the given numbers.

The highest among the common factors is the HCF(6,8).

The factors of 6 are 1, 2, 3, and 6.

The factors of 8 are 1, 2, 4, and 8.

Common Factors of 6 and 8: 1, 2.

Greatest common factor= 2

HCF of 6 and 8 is 2

The HCF of 6 and 8 is the same as 2 irrespective of the method we opt for.