Greatest Common Factor of 8 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 8, 28 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8 and 28 is 4.

GCF(8,28) = 4

GCF of 8 and 28

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

GCF of:
and

Greatest Common Factor of 8 and 28

GCF of 8 and 28 is 4

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 28


2 28
2 14
7 7
1

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

28 = 22×71

∴ So by taking common prime factors GCF of 8 and 28 is 4

Greatest Common Factor of 8 and 28 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 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 8 and 28. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 28 is 4.

Also check out the Least Common Multiple of 8 and 28

Properties of GCF 8 and 28

(i) The GCF of 8 and 28 is associative

GCF of 8 and 28 = GCF of 28 and 8

Related Greatest Common Factor of 8

Related Greatest Common Factor of 28

Frequently Asked Questions on GCF of 8 and 28

1. What is the GCF of 8 and 28?

Answer: GCF of 8 and 28 is 4.

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 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 8 and 28?

Answer:

Greatest Common Factor of 8 and 28 = 4

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

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 2 = 4

Step 4: Therefore, the greatest common factor of 8 and 28 is 4