Greatest Common Factor of 6909 and 6916

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 6909, 6916 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6909 and 6916 is 7.

GCF(6909,6916) = 7

GCF of 6909 and 6916

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

GCF of:
and

Greatest Common Factor of 6909 and 6916

GCF of 6909 and 6916 is 7

Prime Factorization of 6909


3 6909
7 2303
7 329
47 47
1

Prime factors of 6909 are 3,7,47. Prime factorization of 6909 in exponential form is:

6909 = 31×72×471

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

∴ So by taking common prime factors GCF of 6909 and 6916 is 7

Greatest Common Factor of 6909 and 6916 by matching factors method

Factors of 6909

List of positive integer factors of 6909 that divides 6909 without a remainder.

1,3,7,21,47,49,141,147,329,987,2303,6909

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

Greatest Common Factor

We found the factors and prime factorization of 6909 and 6916. The biggest common factor number is the GCF number.
So the greatest common factor 6909 and 6916 is 7.

Also check out the Least Common Multiple of 6909 and 6916

Properties of GCF 6909 and 6916

(i) The GCF of 6909 and 6916 is associative

GCF of 6909 and 6916 = GCF of 6916 and 6909

Related Greatest Common Factor of 6909

Related Greatest Common Factor of 6916

Frequently Asked Questions on GCF of 6909 and 6916

1. What is the GCF of 6909 and 6916?

Answer: GCF of 6909 and 6916 is 7.

2. What are the Factors of 6909?

Answer: Factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909. There are 12 integers that are factors of 6909. The greatest factor of 6909 is 6909.

3. 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.

4. How to Find the GCF of 6909 and 6916?

Answer:

Greatest Common Factor of 6909 and 6916 = 7

Step 1: Find the prime factorization of 6909

6909 = 3 x 7 x 7 x 47

Step 2: Find the prime factorization of 6916

6916 = 2 x 2 x 7 x 13 x 19

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 6909 and 6916 is 7