# What is the GCF of 14 and 42?

GCF (Greatest Common Factor) of two numbers is the greatest possible number which divides the two numbers leaving the remainder as 0

## Answer: GCF of 14 and 42 is 14

We will find the GCF of 14 and 42 by using the two methods.

## Methods to find GCF of 14 and 42

- GCF of 14 and 42 by Prime Factorization
- GCF of 14 and 42 by Common Factors

### Method 1: GCF of 14 and 42 by Prime Factorization

Let us represent 14 and 42 as a product of its prime factors

Prime factorization of 14 is 2 × 7

Prime factorization of 42 is 2 × 3 × 7

Common factors are 2 and 7

GCF is the product of the factors that are common to each of the given numbers.

GCF of 14 and 42 is 14

### Method 2: GCF of 14 and 42 by Listing the Common Factors

Factors of 14: 1, 2, 7 and 14

Factors of 42: 1, 2, 7, 3, and 42

Common Factors of 14 and 42: 1, 2, 7

GCF of 14 and 42 is 14

Irrespective of the methods, the answer to GCF of 14 and 42 is always the same.