Greatest Common Factor of 6891 and 6897

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 6891, 6897 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6891 and 6897 is 3.

GCF(6891,6897) = 3

GCF of 6891 and 6897

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

GCF of:
and

Greatest Common Factor of 6891 and 6897

GCF of 6891 and 6897 is 3

Prime Factorization of 6891


3 6891
2297 2297
1

Prime factors of 6891 are 3,2297. Prime factorization of 6891 in exponential form is:

6891 = 31×22971

Prime Factorization of 6897


3 6897
11 2299
11 209
19 19
1

Prime factors of 6897 are 3,11,19. Prime factorization of 6897 in exponential form is:

6897 = 31×112×191

∴ So by taking common prime factors GCF of 6891 and 6897 is 3

Greatest Common Factor of 6891 and 6897 by matching factors method

Factors of 6891

List of positive integer factors of 6891 that divides 6891 without a remainder.

1,3,2297,6891

Factors of 6897

List of positive integer factors of 6897 that divides 6897 without a remainder.

1,3,11,19,33,57,121,209,363,627,2299,6897

Greatest Common Factor

We found the factors and prime factorization of 6891 and 6897. The biggest common factor number is the GCF number.
So the greatest common factor 6891 and 6897 is 3.

Also check out the Least Common Multiple of 6891 and 6897

Properties of GCF 6891 and 6897

(i) The GCF of 6891 and 6897 is associative

GCF of 6891 and 6897 = GCF of 6897 and 6891

Related Greatest Common Factor of 6891

Related Greatest Common Factor of 6897

Frequently Asked Questions on GCF of 6891 and 6897

1. What is the GCF of 6891 and 6897?

Answer: GCF of 6891 and 6897 is 3.

2. What are the Factors of 6891?

Answer: Factors of 6891 are 1, 3, 2297, 6891. There are 4 integers that are factors of 6891. The greatest factor of 6891 is 6891.

3. What are the Factors of 6897?

Answer: Factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897. There are 12 integers that are factors of 6897. The greatest factor of 6897 is 6897.

4. How to Find the GCF of 6891 and 6897?

Answer:

Greatest Common Factor of 6891 and 6897 = 3

Step 1: Find the prime factorization of 6891

6891 = 3 x 2297

Step 2: Find the prime factorization of 6897

6897 = 3 x 11 x 11 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 6891 and 6897 is 3