Greatest Common Factor of 6920 and 6924

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 6920, 6924 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6920 and 6924 is 4.

GCF(6920,6924) = 4

GCF of 6920 and 6924

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

GCF of:
and

Greatest Common Factor of 6920 and 6924

GCF of 6920 and 6924 is 4

Prime Factorization of 6920


2 6920
2 3460
2 1730
5 865
173 173
1

Prime factors of 6920 are 2,5,173. Prime factorization of 6920 in exponential form is:

6920 = 23×51×1731

Prime Factorization of 6924


2 6924
2 3462
3 1731
577 577
1

Prime factors of 6924 are 2,3,577. Prime factorization of 6924 in exponential form is:

6924 = 22×31×5771

∴ So by taking common prime factors GCF of 6920 and 6924 is 4

Greatest Common Factor of 6920 and 6924 by matching factors method

Factors of 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920

Factors of 6924

List of positive integer factors of 6924 that divides 6924 without a remainder.

1,2,3,4,6,12,577,1154,1731,2308,3462,6924

Greatest Common Factor

We found the factors and prime factorization of 6920 and 6924. The biggest common factor number is the GCF number.
So the greatest common factor 6920 and 6924 is 4.

Also check out the Least Common Multiple of 6920 and 6924

Properties of GCF 6920 and 6924

(i) The GCF of 6920 and 6924 is associative

GCF of 6920 and 6924 = GCF of 6924 and 6920

Related Greatest Common Factor of 6920

Related Greatest Common Factor of 6924

Frequently Asked Questions on GCF of 6920 and 6924

1. What is the GCF of 6920 and 6924?

Answer: GCF of 6920 and 6924 is 4.

2. What are the Factors of 6920?

Answer: Factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920. There are 16 integers that are factors of 6920. The greatest factor of 6920 is 6920.

3. What are the Factors of 6924?

Answer: Factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924. There are 12 integers that are factors of 6924. The greatest factor of 6924 is 6924.

4. How to Find the GCF of 6920 and 6924?

Answer:

Greatest Common Factor of 6920 and 6924 = 4

Step 1: Find the prime factorization of 6920

6920 = 2 x 2 x 2 x 5 x 173

Step 2: Find the prime factorization of 6924

6924 = 2 x 2 x 3 x 577

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 6920 and 6924 is 4