# What is the GCF of 14 and 15?

GCF (Greatest Common Factor) of two numbers is the greatest number that divides the two numbers exactly leaving the remainder 0

## Answer: GCF of 14 and 15 is 1

Let us see how to find the GCF of 14 and 15

## Explanation:

We can find the GCF by any of the following two methods.

- Listing the common factors method
- Prime factorization Method

### GCF of 14 and 15 by Listing the Common Factors

The factors of 14 and 15 are shown below.

Factors of 14: 1, 2, 7 and 14

Factors of 15: 1, 3, 5 and 15

The common factor of 14 and 15 is 1

Clearly, the greatest common factor of 14 and 15 is 1

So, GCF of 14 and 15 is 1

### GCF of 14 and 15 by Prime Factorization

We will represent 14 and 15 as a product of their prime factors.

Prime factorization of 14 is 2 × 7

Prime factorization of 15 is 3 × 5

14 and 15 are consecutive numbers. GCF of consecutive numbers is always 1.

GCF of 14 and 15 is 1

Irrespective of the method, the solution to our question GCF of 14 and 15 is the same.