Greatest Common Factor of 14 and 28

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, 28 i.e. 14 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14 and 28 is 14.

GCF(14,28) = 14

GCF of 14 and 28

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

GCF of:
and

Greatest Common Factor of 14 and 28

GCF of 14 and 28 is 14

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 28


2 28
2 14
7 7
1

Prime factors of 28 are 2,7. Prime factorization of 28 in exponential form is:

28 = 22×71

∴ So by taking common prime factors GCF of 14 and 28 is 14

Greatest Common Factor of 14 and 28 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors and prime factorization of 14 and 28. The biggest common factor number is the GCF number.
So the greatest common factor 14 and 28 is 14.

Also check out the Least Common Multiple of 14 and 28

Properties of GCF 14 and 28

(i) The GCF of 14 and 28 is associative

GCF of 14 and 28 = GCF of 28 and 14

Related Greatest Common Factor of 14

Related Greatest Common Factor of 28

Frequently Asked Questions on GCF of 14 and 28

1. What is the GCF of 14 and 28?

Answer: GCF of 14 and 28 is 14.

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 28?

Answer: Factors of 28 are 1, 2, 4, 7, 14, 28. There are 6 integers that are factors of 28. The greatest factor of 28 is 28.

4. How to Find the GCF of 14 and 28?

Answer:

Greatest Common Factor of 14 and 28 = 14

Step 1: Find the prime factorization of 14

14 = 2 x 7

Step 2: Find the prime factorization of 28

28 = 2 x 2 x 7

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

GCF = 2 x 7 = 14

Step 4: Therefore, the greatest common factor of 14 and 28 is 14