Greatest Common Factor of 6806 and 6812

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 6806, 6812 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6806 and 6812 is 2.

GCF(6806,6812) = 2

GCF of 6806 and 6812

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

GCF of:
and

Greatest Common Factor of 6806 and 6812

GCF of 6806 and 6812 is 2

Prime Factorization of 6806


2 6806
41 3403
83 83
1

Prime factors of 6806 are 2,41,83. Prime factorization of 6806 in exponential form is:

6806 = 21×411×831

Prime Factorization of 6812


2 6812
2 3406
13 1703
131 131
1

Prime factors of 6812 are 2,13,131. Prime factorization of 6812 in exponential form is:

6812 = 22×131×1311

∴ So by taking common prime factors GCF of 6806 and 6812 is 2

Greatest Common Factor of 6806 and 6812 by matching factors method

Factors of 6806

List of positive integer factors of 6806 that divides 6806 without a remainder.

1,2,41,82,83,166,3403,6806

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1,2,4,13,26,52,131,262,524,1703,3406,6812

Greatest Common Factor

We found the factors and prime factorization of 6806 and 6812. The biggest common factor number is the GCF number.
So the greatest common factor 6806 and 6812 is 2.

Also check out the Least Common Multiple of 6806 and 6812

Properties of GCF 6806 and 6812

(i) The GCF of 6806 and 6812 is associative

GCF of 6806 and 6812 = GCF of 6812 and 6806

Related Greatest Common Factor of 6806

Related Greatest Common Factor of 6812

Frequently Asked Questions on GCF of 6806 and 6812

1. What is the GCF of 6806 and 6812?

Answer: GCF of 6806 and 6812 is 2.

2. What are the Factors of 6806?

Answer: Factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806. There are 8 integers that are factors of 6806. The greatest factor of 6806 is 6806.

3. What are the Factors of 6812?

Answer: Factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812. There are 12 integers that are factors of 6812. The greatest factor of 6812 is 6812.

4. How to Find the GCF of 6806 and 6812?

Answer:

Greatest Common Factor of 6806 and 6812 = 2

Step 1: Find the prime factorization of 6806

6806 = 2 x 41 x 83

Step 2: Find the prime factorization of 6812

6812 = 2 x 2 x 13 x 131

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 6806 and 6812 is 2