Greatest Common Factor of 6896 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 6896, 6902 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6896 and 6902 is 2.

GCF(6896,6902) = 2

GCF of 6896 and 6902

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

GCF of:
and

Greatest Common Factor of 6896 and 6902

GCF of 6896 and 6902 is 2

Prime Factorization of 6896


2 6896
2 3448
2 1724
2 862
431 431
1

Prime factors of 6896 are 2,431. Prime factorization of 6896 in exponential form is:

6896 = 24×4311

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 6896 and 6902 is 2

Greatest Common Factor of 6896 and 6902 by matching factors method

Factors of 6896

List of positive integer factors of 6896 that divides 6896 without a remainder.

1,2,4,8,16,431,862,1724,3448,6896

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 6896 and 6902. The biggest common factor number is the GCF number.
So the greatest common factor 6896 and 6902 is 2.

Also check out the Least Common Multiple of 6896 and 6902

Properties of GCF 6896 and 6902

(i) The GCF of 6896 and 6902 is associative

GCF of 6896 and 6902 = GCF of 6902 and 6896

Related Greatest Common Factor of 6896

Related Greatest Common Factor of 6902

Frequently Asked Questions on GCF of 6896 and 6902

1. What is the GCF of 6896 and 6902?

Answer: GCF of 6896 and 6902 is 2.

2. What are the Factors of 6896?

Answer: Factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896. There are 10 integers that are factors of 6896. The greatest factor of 6896 is 6896.

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 6896 and 6902?

Answer:

Greatest Common Factor of 6896 and 6902 = 2

Step 1: Find the prime factorization of 6896

6896 = 2 x 2 x 2 x 2 x 431

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 = 2

Step 4: Therefore, the greatest common factor of 6896 and 6902 is 2