# What is the HCF of 32 and 56?

The highest common factor, also known as the greatest common factor, of two or more numbers, is the largest possible number that divides the given numbers without leaving any remainder.

## Answer: HCF of 32 and 56 is 8

Let us see how to find the HCF of 32 and 56

## Methods to Find HCF of 32 and 56

The following methods are used in order to find the HCF of any two numbers

- Prime factorization Method
- Listing the common factors method
- Long division Method

### Method 1: HCF of 32 and 56 by Listing the Common Factors

Common Factors of 32 and 56: 1, 2, 4 and 8

The greatest common factor is 8

HCF of 32 and 56 is **8**

### Method 2: HCF of 32 and 56 by Prime Factorization

The prime factorization of 32 and 56 can be seen below as:

Prime factorization of 32 is 2 × 2 × 2 × 2 × 2

Prime factorization of 56 is 2 × 2 × 2 × 7

Now, sorting out the common factors od 32 and 56, we will get:

2 x 2 x 2 ............. (common factors)

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

Hence, the HCF is 2 × 2 × 2 = **8**