Greatest Common Factor of 8 and 24

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

Greatest common factor (GCF) of 8 and 24 is 8.

GCF(8,24) = 8

GCF of 8 and 24

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

GCF of:
and

Greatest Common Factor of 8 and 24

GCF of 8 and 24 is 8

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 24


2 24
2 12
2 6
3 3
1

Prime factors of 24 are 2.Prime factorization of 24 in exponential form is:

24 = 23×31

∴ So by taking common prime factors GCF of 8 and 24 is 8

Greatest Common Factor of 8 and 24 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors and prime factorization of 8 and 24. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 24 is 8.

Also check out the Least Common Multiple of 8 and 24

Properties of GCF 8 and 24

(i) The GCF of 8 and 24 is associative

GCF of 8 and 24 = GCF of 24 and 8

Related Greatest Common Factor of 8

Related Greatest Common Factor of 24

Frequently Asked Questions on GCF of 8 and 24

1. What is the GCF of 8 and 24?

Answer: GCF of 8 and 24 is 8.

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 24?

Answer: Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. There are 8 integers that are factors of 24. The greatest factor of 24 is 24.

4. How to Find the GCF of 8 and 24?

Answer:

Greatest Common Factor of 8 and 24 = 8

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 24

24 = 2 x 2 x 2 x 3

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8 and 24 is 8