Greatest Common Factor of 6924 and 6932

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 6924, 6932 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6924 and 6932 is 4.

GCF(6924,6932) = 4

GCF of 6924 and 6932

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

GCF of:
and

Greatest Common Factor of 6924 and 6932

GCF of 6924 and 6932 is 4

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

Prime Factorization of 6932


2 6932
2 3466
1733 1733
1

Prime factors of 6932 are 2,1733. Prime factorization of 6932 in exponential form is:

6932 = 22×17331

∴ So by taking common prime factors GCF of 6924 and 6932 is 4

Greatest Common Factor of 6924 and 6932 by matching factors method

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

Factors of 6932

List of positive integer factors of 6932 that divides 6932 without a remainder.

1,2,4,1733,3466,6932

Greatest Common Factor

We found the factors and prime factorization of 6924 and 6932. The biggest common factor number is the GCF number.
So the greatest common factor 6924 and 6932 is 4.

Also check out the Least Common Multiple of 6924 and 6932

Properties of GCF 6924 and 6932

(i) The GCF of 6924 and 6932 is associative

GCF of 6924 and 6932 = GCF of 6932 and 6924

Related Greatest Common Factor of 6924

Related Greatest Common Factor of 6932

Frequently Asked Questions on GCF of 6924 and 6932

1. What is the GCF of 6924 and 6932?

Answer: GCF of 6924 and 6932 is 4.

2. 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.

3. What are the Factors of 6932?

Answer: Factors of 6932 are 1, 2, 4, 1733, 3466, 6932. There are 6 integers that are factors of 6932. The greatest factor of 6932 is 6932.

4. How to Find the GCF of 6924 and 6932?

Answer:

Greatest Common Factor of 6924 and 6932 = 4

Step 1: Find the prime factorization of 6924

6924 = 2 x 2 x 3 x 577

Step 2: Find the prime factorization of 6932

6932 = 2 x 2 x 1733

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 6924 and 6932 is 4