Greatest Common Factor of 6902 and 6909

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 6902, 6909 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6902 and 6909 is 7.

GCF(6902,6909) = 7

GCF of 6902 and 6909

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

GCF of:
and

Greatest Common Factor of 6902 and 6909

GCF of 6902 and 6909 is 7

Prime Factorization of 6902


2 6902
7 3451
17 493
29 29
1

Prime factors of 6902 are 2,7,17,29. Prime factorization of 6902 in exponential form is:

6902 = 21×71×171×291

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

∴ So by taking common prime factors GCF of 6902 and 6909 is 7

Greatest Common Factor of 6902 and 6909 by matching factors method

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

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

Greatest Common Factor

We found the factors and prime factorization of 6902 and 6909. The biggest common factor number is the GCF number.
So the greatest common factor 6902 and 6909 is 7.

Also check out the Least Common Multiple of 6902 and 6909

Properties of GCF 6902 and 6909

(i) The GCF of 6902 and 6909 is associative

GCF of 6902 and 6909 = GCF of 6909 and 6902

Related Greatest Common Factor of 6902

Related Greatest Common Factor of 6909

Frequently Asked Questions on GCF of 6902 and 6909

1. What is the GCF of 6902 and 6909?

Answer: GCF of 6902 and 6909 is 7.

2. What are the Factors of 6902?

Answer: Factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902. There are 16 integers that are factors of 6902. The greatest factor of 6902 is 6902.

3. 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.

4. How to Find the GCF of 6902 and 6909?

Answer:

Greatest Common Factor of 6902 and 6909 = 7

Step 1: Find the prime factorization of 6902

6902 = 2 x 7 x 17 x 29

Step 2: Find the prime factorization of 6909

6909 = 3 x 7 x 7 x 47

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 6902 and 6909 is 7