Greatest Common Factor of 6896 and 6898

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, 6898 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6896 and 6898 is 2.

GCF(6896,6898) = 2

GCF of 6896 and 6898

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

GCF of:
and

Greatest Common Factor of 6896 and 6898

GCF of 6896 and 6898 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 6898


2 6898
3449 3449
1

Prime factors of 6898 are 2,3449. Prime factorization of 6898 in exponential form is:

6898 = 21×34491

∴ So by taking common prime factors GCF of 6896 and 6898 is 2

Greatest Common Factor of 6896 and 6898 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 6898

List of positive integer factors of 6898 that divides 6898 without a remainder.

1,2,3449,6898

Greatest Common Factor

We found the factors and prime factorization of 6896 and 6898. The biggest common factor number is the GCF number.
So the greatest common factor 6896 and 6898 is 2.

Also check out the Least Common Multiple of 6896 and 6898

Properties of GCF 6896 and 6898

(i) The GCF of 6896 and 6898 is associative

GCF of 6896 and 6898 = GCF of 6898 and 6896

Related Greatest Common Factor of 6896

Related Greatest Common Factor of 6898

Frequently Asked Questions on GCF of 6896 and 6898

1. What is the GCF of 6896 and 6898?

Answer: GCF of 6896 and 6898 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 6898?

Answer: Factors of 6898 are 1, 2, 3449, 6898. There are 4 integers that are factors of 6898. The greatest factor of 6898 is 6898.

4. How to Find the GCF of 6896 and 6898?

Answer:

Greatest Common Factor of 6896 and 6898 = 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 6898

6898 = 2 x 3449

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 6898 is 2