Greatest Common Factor of 6895 and 6902

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 6895, 6902 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6895 and 6902 is 7.

GCF(6895,6902) = 7

GCF of 6895 and 6902

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

GCF of:
and

Greatest Common Factor of 6895 and 6902

GCF of 6895 and 6902 is 7

Prime Factorization of 6895


5 6895
7 1379
197 197
1

Prime factors of 6895 are 5,7,197. Prime factorization of 6895 in exponential form is:

6895 = 51×71×1971

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

∴ So by taking common prime factors GCF of 6895 and 6902 is 7

Greatest Common Factor of 6895 and 6902 by matching factors method

Factors of 6895

List of positive integer factors of 6895 that divides 6895 without a remainder.

1,5,7,35,197,985,1379,6895

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

Greatest Common Factor

We found the factors and prime factorization of 6895 and 6902. The biggest common factor number is the GCF number.
So the greatest common factor 6895 and 6902 is 7.

Also check out the Least Common Multiple of 6895 and 6902

Properties of GCF 6895 and 6902

(i) The GCF of 6895 and 6902 is associative

GCF of 6895 and 6902 = GCF of 6902 and 6895

Related Greatest Common Factor of 6895

Related Greatest Common Factor of 6902

Frequently Asked Questions on GCF of 6895 and 6902

1. What is the GCF of 6895 and 6902?

Answer: GCF of 6895 and 6902 is 7.

2. What are the Factors of 6895?

Answer: Factors of 6895 are 1, 5, 7, 35, 197, 985, 1379, 6895. There are 8 integers that are factors of 6895. The greatest factor of 6895 is 6895.

3. 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.

4. How to Find the GCF of 6895 and 6902?

Answer:

Greatest Common Factor of 6895 and 6902 = 7

Step 1: Find the prime factorization of 6895

6895 = 5 x 7 x 197

Step 2: Find the prime factorization of 6902

6902 = 2 x 7 x 17 x 29

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 6895 and 6902 is 7