# What is the GCF of 2 and 7?

GCF (Greatest Common Factor) of 2 and 7 is the largest possible number which can divide both 2 and 7 without leaving any remainders

## Answer: GCF of 2 and 7 is 1

GCF of 2 and 7 is the highest number that divides 2 and 7 exactly leaving the remainder 0.

**Explanation:**

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 2 and 7 by the following methods.

- GCF of 2 and 7 by Prime Factorization Method
- GCF of 2 and 7 by Listing the Common Factors Method

### Method 1: GCF of 2 and 7 by Prime factorization

Prime factorization of 2: 2

Prime factorization of 7: 7

The product of all common prime factors is the GCF of 2 and 7

Here as we can see there are no common factors for 2 and 7 apart from 1, hence the GCF(2, 7) = 1

### Method 2: GCF of 2 and 7 by Listing the Common Factors

Let us list the factors and identify the greatest among the common factors of 2 and 7.

Common Factors of 2 and 7: 1

The greatest common factor of 2 and 7 is 1

So, GCF of 2 and 7 is 1

Observe that irrespective of the methods, the answer to GCF of 2 and 7 is the same.