# What is the GCF of 9 and 14?

Greatest Common Factor is the greatest number that is a factor of two or more other numbers.

## Answer: GCF of 9 and 14 is 1

Let's find the GCF of 9 and 14

## Explanation:

Methods to find GCF of 9 and 14

### GCF of 9 and 14 by Prime Factorization

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

Prime factorization of 9 is 3 × 3

Prime factorization of 14 is 2 × 7

There isn't any common prime factors of 9 and 14

Hence GCF(9, 14) is = 1

### GCF of 9 and 14 by Long Division

- Step 1: Divide the larger number 14 by the smaller number 9.
- Step 2: Divide the dividend (9) by the remainder obtained in step 1 and repeat this step until we get the remainder as 0
- Step 3: The last dividend is the GCF of the two numbers

We will get the GCF same for the given numbers by using different methods.