Greatest Common Factor of 6916 and 6923

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 6916, 6923 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6916 and 6923 is 7.

GCF(6916,6923) = 7

GCF of 6916 and 6923

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

GCF of:
and

Greatest Common Factor of 6916 and 6923

GCF of 6916 and 6923 is 7

Prime Factorization of 6916


2 6916
2 3458
7 1729
13 247
19 19
1

Prime factors of 6916 are 2,7,13,19. Prime factorization of 6916 in exponential form is:

6916 = 22×71×131×191

Prime Factorization of 6923


7 6923
23 989
43 43
1

Prime factors of 6923 are 7,23,43. Prime factorization of 6923 in exponential form is:

6923 = 71×231×431

∴ So by taking common prime factors GCF of 6916 and 6923 is 7

Greatest Common Factor of 6916 and 6923 by matching factors method

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916

Factors of 6923

List of positive integer factors of 6923 that divides 6923 without a remainder.

1,7,23,43,161,301,989,6923

Greatest Common Factor

We found the factors and prime factorization of 6916 and 6923. The biggest common factor number is the GCF number.
So the greatest common factor 6916 and 6923 is 7.

Also check out the Least Common Multiple of 6916 and 6923

Properties of GCF 6916 and 6923

(i) The GCF of 6916 and 6923 is associative

GCF of 6916 and 6923 = GCF of 6923 and 6916

Related Greatest Common Factor of 6916

Related Greatest Common Factor of 6923

Frequently Asked Questions on GCF of 6916 and 6923

1. What is the GCF of 6916 and 6923?

Answer: GCF of 6916 and 6923 is 7.

2. What are the Factors of 6916?

Answer: Factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916. There are 24 integers that are factors of 6916. The greatest factor of 6916 is 6916.

3. What are the Factors of 6923?

Answer: Factors of 6923 are 1, 7, 23, 43, 161, 301, 989, 6923. There are 8 integers that are factors of 6923. The greatest factor of 6923 is 6923.

4. How to Find the GCF of 6916 and 6923?

Answer:

Greatest Common Factor of 6916 and 6923 = 7

Step 1: Find the prime factorization of 6916

6916 = 2 x 2 x 7 x 13 x 19

Step 2: Find the prime factorization of 6923

6923 = 7 x 23 x 43

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6916 and 6923 is 7