# What is the GCF of 6 and 7?

Greatest common factor: A largest possible number which evenly or perfectly divided the given set of numbers is called as the greatest common factor.

## Answer: GCF of 6 and 7 is 1

We can follow different methods to find the GCF of 6 and 7.

## Explanation

The different ways by which we can find the GCF of 6 and 7 are given below:

- Division
- Listing the factors

### Method 1: Division

Here we take the larger value 7 as the dividend and the smaller value 6 as the divisor. The remainder and divisor from the first step of division acts as the divisor and dividend in the next step respectively. This step division continues until 0 is obtained as the remainder. The last divisor is the obtained GCF.

### Method 2: Listing Factors

Here we write down the factors of each number and then spot the one which is common and also the largest.

Factors of 6: 1, 2, 3, 6

Factors of 7: 1, 7

The greatest common factor of 6 and 7: 1

Therefore, GCF(6,7): 1

Note that 6 and 7 are consecutive numbers. GCF of consecutive numbers will always be 1.