# What is the GCF of 56 and 98?

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

## Answer: GCF of 56 and 98 is 14

We will explain two methods to find the GCF of 56 and 98

## Explanation:

The two methods that we are using to find GCF of 56 and 98 are shown below.

- Listing the common factors method
- Long Division method

### Method 1: Find GCF of 56 and 98 by Listing Common Factors

The factors of 56 and 98 are shown below.

- Factors of 56: 1, 2, 4, 7, 8,
, 28, 56**14** - Factors of 98: 1, 2, 7,
, 49, 98__14__

The common factor of 56 and 98 is 14

GCF is the product of the factors that are common to each of the given numbers.

So, GCF of 56 and 98 is 14

### Method 2: Find GCF of 56 and 98 by Long Division

The steps to find the GCF(56, 98) by long division are mentioned below.

**Step 1:** Divide 98 by 56 and check the remainder. We get the remainder as 40.

**Step 2:** Make the remainder of the above step 1 as the divisor and the divisor of the above step 56 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 GCF of 56 and 98.

The greatest common factor of 56 and 98 is 14.

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