# What is the HCF of 2923 and 3239?

The highest common factor (HCF) or greatest common factor (GCF) of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

Hence, the HCF of two numbers 2923 and 3239 is the largest possible number which divides both the numbers exactly.

## Answer: HCF of 2923 and 3239 is 79

## Explanation:

We can find the HCF by the following methods.

- Listing the common factors method
- Long division Method

### Method 1: HCF of 2923 and 3239 by Listing the Common Factors

Factors of 2923: **1**, 37, **79**, and 2923

Factors of 3239: **1**, 41, **79**, and 3239

Common Factors of 2923 and 3239: **1, 79**.

Greatest common factor= 79

Thus, the HCF of 2923 and 3239 is **79**

### Method 2: HCF of 2923 and 3239 by Long Division

- Step 1: Divide 3239 by 2923 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

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