# What is the HCF of 25 and 36?

The Highest Common Factor(HCF) of two numbers is the highest possible number which divides both the numbers exactly. HCF of a and b is denoted by HCF(a, b)

## Answer: HCF of 25 and 36 is 1

HCF of 25 and 36 is the highest number that divides 25 and 36 exactly leaving the remainder 0.

## Explanation:

We will explain the following methods to the highest common factor of 25 and 36.

- HCF of 25 and 36 by Long Division Method
- HCF of 25 and 36 by Listing the Common Factors

### Method 1: Find HCF of 25 and 36 by Long Division

The steps to find the HCF (25, 36) by long division are mentioned below.

**Step 1:** Divide 36 by 25 and check the remainder. Here, we get the remainder as 11.

**Step 2: **Make the remainder 11 as the divisor and the divisor of the above step 25 as the dividend and perform the long division again.

**Step 3: **Continue till you get the remainder as 0

HCF of 25 and 36 will the last divisor in the process.

So, the highest common factor of 25 and 36 is 1.

### Method 2: Find HCF of 25 and 36 by Listing the Common Factors

The factors of 25 and 36 are shown below.

Factors of 25: ** 1**, 5, 25

Factors of 36: ** 1**, 2, 3, 4, 6, 9, 18, 36

The common factor of 25 and 36 is 1.

The highest common factor of 25 and 36 is 1.

The solution of HCF of 25 and 36 will be the same from both the above methods.