Greatest Common Factor of 6902 and 6908

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, 6908 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6902 and 6908 is 2.

GCF(6902,6908) = 2

GCF of 6902 and 6908

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

GCF of:
and

Greatest Common Factor of 6902 and 6908

GCF of 6902 and 6908 is 2

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 6908


2 6908
2 3454
11 1727
157 157
1

Prime factors of 6908 are 2,11,157. Prime factorization of 6908 in exponential form is:

6908 = 22×111×1571

∴ So by taking common prime factors GCF of 6902 and 6908 is 2

Greatest Common Factor of 6902 and 6908 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 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1,2,4,11,22,44,157,314,628,1727,3454,6908

Greatest Common Factor

We found the factors and prime factorization of 6902 and 6908. The biggest common factor number is the GCF number.
So the greatest common factor 6902 and 6908 is 2.

Also check out the Least Common Multiple of 6902 and 6908

Properties of GCF 6902 and 6908

(i) The GCF of 6902 and 6908 is associative

GCF of 6902 and 6908 = GCF of 6908 and 6902

Related Greatest Common Factor of 6902

Related Greatest Common Factor of 6908

Frequently Asked Questions on GCF of 6902 and 6908

1. What is the GCF of 6902 and 6908?

Answer: GCF of 6902 and 6908 is 2.

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 6908?

Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.

4. How to Find the GCF of 6902 and 6908?

Answer:

Greatest Common Factor of 6902 and 6908 = 2

Step 1: Find the prime factorization of 6902

6902 = 2 x 7 x 17 x 29

Step 2: Find the prime factorization of 6908

6908 = 2 x 2 x 11 x 157

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 6902 and 6908 is 2