# Greatest Common Factor of 14 and 18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 14, 18 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14 and 18 is 2.

GCF(14,18) = 2

## GCF of 14 and 18

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and ### GCF of 14 and 18 is 2

Prime Factorization of 14

 2 14 7 7 1

Prime factors of 14 are 2,7. Prime factorization of 14 in exponential form is:

14 = 21×71

Prime Factorization of 18

 2 18 3 9 3 3 1

Prime factors of 18 are 2,3. Prime factorization of 18 in exponential form is:

18 = 21×32

∴ So by taking common prime factors GCF of 14 and 18 is 2

### Greatest Common Factor of 14 and 18 by matching factors method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors and prime factorization of 14 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 14 and 18 is 2.

Also check out the Least Common Multiple of 14 and 18

### Properties of GCF 14 and 18

(i) The GCF of 14 and 18 is associative

GCF of 14 and 18 = GCF of 18 and 14

### Frequently Asked Questions on GCF of 14 and 18

1. What is the GCF of 14 and 18?

Answer: GCF of 14 and 18 is 2.

2. What are the Factors of 14?

Answer: Factors of 14 are 1, 2, 7, 14. There are 4 integers that are factors of 14. The greatest factor of 14 is 14.

3. What are the Factors of 18?

Answer: Factors of 18 are 1, 2, 3, 6, 9, 18. There are 6 integers that are factors of 18. The greatest factor of 18 is 18.

4. How to Find the GCF of 14 and 18?

Greatest Common Factor of 14 and 18 = 2

Step 1: Find the prime factorization of 14

14 = 2 x 7

Step 2: Find the prime factorization of 18

18 = 2 x 3 x 3

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 14 and 18 is 2