# What is the HCF of 28 and 32?

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

## Answer: HCF of 28 and 32 is 4

HCF of 28 and 32 is the highest number that divides 28 and 32 exactly leaving the remainder 0.

## Explanation:

We can find the HCF by the following methods.

- HCF of 28 and 32 by Listing Common Factors
- HCF of 28 and 32 by Long Division

### Method 1: Find HCF of 28 and 32 by Listing Common Factors

Write all the factors of 28 and 32.

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

Factors of 32: 1, 2, ** 4**, 8, 16, 32

The common factors of 28 and 32 are 1, 2, and 4.

HCF is the highest factor among all the common factors.

Here the highest common factor among 1, 2, and 4 is 4.

So, HCF of 28 and 32 is 4.

### Method 2: Find HCF of 28 and 32 by Long Division

The steps to find the HCF(28, 32) by long division are mentioned below.

**Step 1:** Divide 32 by 28 and check the remainder. We get the remainder as 4.

**Step 2:** Make the remainder of the above step 4 as the divisor and the divisor of the above step 28 as the dividend and perform the long division again.

**Step 3:** Continue till you get the remainder as 0 and the last divisor is the HCF of 28 and 32.

The highest common factor of 28 and 32 is 4.

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