Greatest Common Factor of 6 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 6, 24 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6 and 24 is 6.

GCF(6,24) = 6

GCF of 6 and 24

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

GCF of:
and

Greatest Common Factor of 6 and 24

GCF of 6 and 24 is 6

Prime Factorization of 6


2 6
3 3
1

Prime factors of 6 are 2,3. Prime factorization of 6 in exponential form is:

6 = 21×31

Prime Factorization of 24


2 24
2 12
2 6
3 3
1

Prime factors of 24 are 2,3. Prime factorization of 24 in exponential form is:

24 = 23×31

∴ So by taking common prime factors GCF of 6 and 24 is 6

Greatest Common Factor of 6 and 24 by matching factors method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

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 6 and 24. The biggest common factor number is the GCF number.
So the greatest common factor 6 and 24 is 6.

Also check out the Least Common Multiple of 6 and 24

Properties of GCF 6 and 24

(i) The GCF of 6 and 24 is associative

GCF of 6 and 24 = GCF of 24 and 6

Related Greatest Common Factor of 6

Related Greatest Common Factor of 24

Frequently Asked Questions on GCF of 6 and 24

1. What is the GCF of 6 and 24?

Answer: GCF of 6 and 24 is 6.

2. What are the Factors of 6?

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

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 6 and 24?

Answer:

Greatest Common Factor of 6 and 24 = 6

Step 1: Find the prime factorization of 6

6 = 2 x 3

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 3 = 6

Step 4: Therefore, the greatest common factor of 6 and 24 is 6