# What is the GCF of 10 and 14?

Greatest Common Factor (GCF) is a number which is the largest and also is perfectly or exactly dividing the given set of numbers.

## Answer: GCF of 10 and 14 is 2.

We can find the GCF (10,14) in many ways.

## Explanation

Let us see how to find GCF of 10 and 14 in two methods

- Prime factorization
- Long Division

### Method 1: GCF of 10 and 14 by Prime Factorization:

Here each number is written in their prime factorised form. GCF is the product of all the common factors of 10 and 14 taken once.

Prime Factorised form of 10: 2×5

Prime Factorised form of 14: 2×7

GCF of 10 and 14: 2

GCF (10 and 14) is 2

### GCF of 10 and 14 by Long Division:

- Take the larger number 14 as the dividend and then the smaller number 10 as the divisor.
- On the first division, the remainder which is obtained will now act as the divisor and the divisor from the previous step as the dividend.
- Continue this division until zero is obtained as the remainder.
- We will take the last Divisor 2 as the GCF of 10 and 14.