# What is the HCF of 56, 96 and 404?

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

## Answer: HCF of 56, 96 and 404 is 4

We will learn two methods to find HCF of 56, 96 and 404

## Explanation

HCF(Highest Common Factor) of 56, 96 and 404 is the highest possible number which divides 56, 96 and 404 exactly without any remainder.

- HCF of 56, 96 and 404 by Prime Factorization
- HCF of 56, 96 and 404 by Listing Factors

### Method 1: HCF of 56, 96 and 404 by Prime Factorization

Represent 56, 96 and 404 as a product of their prime factors.

Prime factorization of 56: 2^{3} × 7

Prime factorization of 96 is 2^{5} × 3

Prime factorization of 404 is 2^{2} × 101

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

HCF of 56, 96 and 404: 2^{2 }= 4

### Method 2: HCF of 56, 96 and 404 by List of Factors

Here in this method, we list all the factors of the given numbers and then spot the largest common factor as the HCF.

Any of the above methods will yield the same answer for the HCF of 56, 96 and 404