# What is the HCF of 28 and 56?

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

## Answer: HCF of 28 and 56 is 28

HCF of 28 and 56 is the highest number that divides 28 and 56 exactly leaving the remainder 0.

## Explanation:

We can find the HCF by the following methods.

- HCF of 28 and 56 by Listing Common Factors
- HCF of 28 and 56 by Long Division

### Method 28: Find HCF of 28 and 56 by Listing Common Factors

Factors of 28: 1, 2, 4, 7, 14, __28__

Factors of 56: 1, 2, 4, 7, 8, 14, ** 28**, 56

The common factors of 28 and 56 are 1, 2, 4, 7, 14, 28.

HCF is the largest factor among the common factors.

So, HCF of 28 and 56 is 28.

### Method 2: Find HCF of 28 and 56 by Long Division

Divide 56 by 28 and check the remainder.

Since the remainder is 0, the HCF of 28 and 56 is 28.

The highest common factor of 28 and 56 is 28.

You can find the HCF in any of the above methods but the solution will be the same.