# What is the HCF of 35 and 40?

The largest possible number which exactly divides both the numbers is the HCF of two numbers 35 and 40.

## Answer: HCF of 35 and 40 is 5

Let us find HCF of 35 and 40

## Explanation:

The highest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

We will use the following two methods to find the HCF of 35 and 40.

- HCF of 35 and 40 by Long Division Method
- HCF of 35 and 40 by Listing Method

### Method 1: HCF of 35 and 40 by Long Division

Step 1: Divide 40 by 35 and check the remainder.

Step 2: Make the remainder (5) of the above step as the divisor and the divisor (35) of the above step as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and the last divisor of the division process is the HCF of 35 and 40.

### So, the highest common factor of 35 and 40 is 5

### Method 2: HCF of 35 and 40 by Listing the Common Factors

In this method, we list all the factors of 35 and 40, then identify the common factors.

The highest among the common factors is the HCF of 35 and 40.

Factors of 35 are** 1**, **5**, 7, 35

Factors of 40 are **1**, 2, 4,** 5**, 8, 10, 20, 40

Common Factors of 35 and 40: 1, 5

The highest common factor of 35 and 40 is 5

So, HCF of 35 and 40 is 5

The HCF of 35 and 40 remains the same, irrespective of the method.