# What is the GCF of 14 and 20?

The largest possible number which divides both the numbers exactly is called GCF of two numbers 14 and 20.

## Answer: GCF of 14 and 20 is 2

Let us see how to find the GCF of 14 and 20

## Explanation:

The greatest common factor or the highest common factor of two numbers is the maximum possible number which exactly divides both the numbers.

Methods To Find GCF of 14 and 20

- Prime factorization Method
- Listing the common factors method

### Method 1:** **GCF of 14 and 20 by Prime Factorization

In this method, we represent 14 and 20 as a product of its prime numbers

Prime factorization of 14 is 2 × 7

Prime factorization of 20 is 2 × 2 × 5

GCF of 14 and 20 is 2

### Method 2: GCF of 14 and 20 by Listing the Common Factors

Here, we list all the factors of 14 and 20, then identify the common factors. The highest among the common factors is the GCF of 14 and 20.

1, 2, 7, 14 are the factors of 14.

1, 2, 4, 5, 10, 20 are the factors of 20.

Common Factors of 14 and 20: 1, 2

The greatest common factor of 14 and 20 = 2

GCF of 14 and 20 is 2

Irrespective of the method we choose to find GCF, the solution of GCF(14, 20) remains the same.