Greatest Common Factor of 6924 and 6926

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, 6926 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6924 and 6926 is 2.

GCF(6924,6926) = 2

GCF of 6924 and 6926

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

GCF of:
and

Greatest Common Factor of 6924 and 6926

GCF of 6924 and 6926 is 2

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 6926


2 6926
3463 3463
1

Prime factors of 6926 are 2,3463. Prime factorization of 6926 in exponential form is:

6926 = 21×34631

∴ So by taking common prime factors GCF of 6924 and 6926 is 2

Greatest Common Factor of 6924 and 6926 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 6926

List of positive integer factors of 6926 that divides 6926 without a remainder.

1,2,3463,6926

Greatest Common Factor

We found the factors and prime factorization of 6924 and 6926. The biggest common factor number is the GCF number.
So the greatest common factor 6924 and 6926 is 2.

Also check out the Least Common Multiple of 6924 and 6926

Properties of GCF 6924 and 6926

(i) The GCF of 6924 and 6926 is associative

GCF of 6924 and 6926 = GCF of 6926 and 6924

Related Greatest Common Factor of 6924

Related Greatest Common Factor of 6926

Frequently Asked Questions on GCF of 6924 and 6926

1. What is the GCF of 6924 and 6926?

Answer: GCF of 6924 and 6926 is 2.

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 6926?

Answer: Factors of 6926 are 1, 2, 3463, 6926. There are 4 integers that are factors of 6926. The greatest factor of 6926 is 6926.

4. How to Find the GCF of 6924 and 6926?

Answer:

Greatest Common Factor of 6924 and 6926 = 2

Step 1: Find the prime factorization of 6924

6924 = 2 x 2 x 3 x 577

Step 2: Find the prime factorization of 6926

6926 = 2 x 3463

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6924 and 6926 is 2