# What is The HCF of 4 and 8?

The largest possible number which divides the given numbers exactly without leaving any remainder is called the highest common factor of two or more numbers.

## Answer: HCF of 4 and 8 is 4

## Explanation:

We can find the HCF by the following methods

- Prime factorization method
- List of factors method

## Find HCF of 4 and 8 by Prime Factorization

Let us represent 4 and 8 as a product of its prime numbers

Prime factorization of 4 is 2 × 2

Prime factorization of 8 is 2 × 2 × 2

Common factors = 2 and 2

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

HCF is 2\(\times\)2=4

### Find HCF of 4 and 8 by Listing the Common Factors

In this method, the highest of all the common factors of the given numbers is identified.

Common Factors of 4 and 8: 1, 2 and 4

The greatest common factor is 4

HCF of 4 and 8 is 4.

The highest common factor is unique for a given set of numbers. It is independent of the process we choose to find the HCF.