Greatest Common Factor of 8 and 14

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 8, 14 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8 and 14 is 2.

GCF(8,14) = 2

GCF of 8 and 14

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

GCF of:
and

Greatest Common Factor of 8 and 14

GCF of 8 and 14 is 2

Prime Factorization of 8


2 8
2 4
2 2
1

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23

Prime Factorization of 14


2 14
7 7
1

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

14 = 21×71

∴ So by taking common prime factors GCF of 8 and 14 is 2

Greatest Common Factor of 8 and 14 by matching factors method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 14

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

1,2,7,14

Greatest Common Factor

We found the factors and prime factorization of 8 and 14. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 14 is 2.

Also check out the Least Common Multiple of 8 and 14

Properties of GCF 8 and 14

(i) The GCF of 8 and 14 is associative

GCF of 8 and 14 = GCF of 14 and 8

Related Greatest Common Factor of 8

Related Greatest Common Factor of 14

Frequently Asked Questions on GCF of 8 and 14

1. What is the GCF of 8 and 14?

Answer: GCF of 8 and 14 is 2.

2. What are the Factors of 8?

Answer: Factors of 8 are 1, 2, 4, 8. There are 4 integers that are factors of 8. The greatest factor of 8 is 8.

3. 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.

4. How to Find the GCF of 8 and 14?

Answer:

Greatest Common Factor of 8 and 14 = 2

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 14

14 = 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

Step 4: Therefore, the greatest common factor of 8 and 14 is 2