# What is the GCF of 51 and 68?

GCF of two numbers 51 and 68 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 51 and 68 is 17

Let us see how to find the GCF of 51 and 68.

## Explanation

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

We can find the GCF of the numbers in many ways the commonly used methods are listed below.

## Methods to Find GCF of 51 and 68

- Long division Method
- Listing the common factors method

### Method 1: GCF of 51 and 68 by Listing the Common Factors

The highest among the common factors is the GCF of 51 and 68.

So, first, we start with listing all the factors of 51 and 68, then identify the common factors.

**1,** 3, **17,** 51 are the factors of 51

**1,** 2, 4, **17,** 34, 68 are the factors of 68.

Common Factors of 51 and 68: 1, 17.

The highest among all the common factors is 17

Therefore, GCF of 51 and 68 is 17

### Method 2: GCF of 51 and 68 by Long Division

- Step 1: Divide 68 by 51 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor(i.e.,17) and the divisor of the above step(i.e., 51) as the dividend and perform the long division again.
- Step 3: Continue till you get remainder as 0

Irrespective of the method, the solution to GCF(51,68) is the same.