Greatest Common Factor of 6837 and 6843

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 6837, 6843 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6837 and 6843 is 3.

GCF(6837,6843) = 3

GCF of 6837 and 6843

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

GCF of:
and

Greatest Common Factor of 6837 and 6843

GCF of 6837 and 6843 is 3

Prime Factorization of 6837


3 6837
43 2279
53 53
1

Prime factors of 6837 are 3,43,53. Prime factorization of 6837 in exponential form is:

6837 = 31×431×531

Prime Factorization of 6843


3 6843
2281 2281
1

Prime factors of 6843 are 3,2281. Prime factorization of 6843 in exponential form is:

6843 = 31×22811

∴ So by taking common prime factors GCF of 6837 and 6843 is 3

Greatest Common Factor of 6837 and 6843 by matching factors method

Factors of 6837

List of positive integer factors of 6837 that divides 6837 without a remainder.

1,3,43,53,129,159,2279,6837

Factors of 6843

List of positive integer factors of 6843 that divides 6843 without a remainder.

1,3,2281,6843

Greatest Common Factor

We found the factors and prime factorization of 6837 and 6843. The biggest common factor number is the GCF number.
So the greatest common factor 6837 and 6843 is 3.

Also check out the Least Common Multiple of 6837 and 6843

Properties of GCF 6837 and 6843

(i) The GCF of 6837 and 6843 is associative

GCF of 6837 and 6843 = GCF of 6843 and 6837

Related Greatest Common Factor of 6837

Related Greatest Common Factor of 6843

Frequently Asked Questions on GCF of 6837 and 6843

1. What is the GCF of 6837 and 6843?

Answer: GCF of 6837 and 6843 is 3.

2. What are the Factors of 6837?

Answer: Factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837. There are 8 integers that are factors of 6837. The greatest factor of 6837 is 6837.

3. What are the Factors of 6843?

Answer: Factors of 6843 are 1, 3, 2281, 6843. There are 4 integers that are factors of 6843. The greatest factor of 6843 is 6843.

4. How to Find the GCF of 6837 and 6843?

Answer:

Greatest Common Factor of 6837 and 6843 = 3

Step 1: Find the prime factorization of 6837

6837 = 3 x 43 x 53

Step 2: Find the prime factorization of 6843

6843 = 3 x 2281

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 6837 and 6843 is 3