# What is the HCF of 6 and 20?

The largest possible number which divides both the numbers exactly is called HCF of two numbers 6 and 20.

## Answer: HCF of 6 and 20 is 2

Lets see how to find the HCF of 6 and 20

## Explanation:

The highest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also sometimes termed as the greatest common factor(GCF).

## Methods to Find HCF of 6 and 20

- Listing the common factors
- Long division

### Method -1 HCF(6,20) by Listing the Common Factors

In this method, we list all the factors of 6 and 20, then identify the common factors.

The highest among the common factors is the HCF of 6 and 20.

The factors of 6 are 1, 2, 3, 6

The factors of 20 are 1, 2, 4, 5, 10, 20

Common Factors of 6 and 20: 1, 2.

The highest among all the common factors is 2

HCF of 6 and 20 is 2

### HCF(6,20) by Long Division

- Step 1: Divide 20 by 6 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get remainder as 0

The HCF of 6 and 20 is the same as 2, by choosing any method to find HCF.

### Therefore, HCF of 6 and 20 is 2

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