Greatest Common Factor of 6812 and 6814

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 6812, 6814 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6812 and 6814 is 2.

GCF(6812,6814) = 2

GCF of 6812 and 6814

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

GCF of:
and

Greatest Common Factor of 6812 and 6814

GCF of 6812 and 6814 is 2

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

Prime Factorization of 6814


2 6814
3407 3407
1

Prime factors of 6814 are 2,3407. Prime factorization of 6814 in exponential form is:

6814 = 21×34071

∴ So by taking common prime factors GCF of 6812 and 6814 is 2

Greatest Common Factor of 6812 and 6814 by matching factors method

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

Factors of 6814

List of positive integer factors of 6814 that divides 6814 without a remainder.

1,2,3407,6814

Greatest Common Factor

We found the factors and prime factorization of 6812 and 6814. The biggest common factor number is the GCF number.
So the greatest common factor 6812 and 6814 is 2.

Also check out the Least Common Multiple of 6812 and 6814

Properties of GCF 6812 and 6814

(i) The GCF of 6812 and 6814 is associative

GCF of 6812 and 6814 = GCF of 6814 and 6812

Related Greatest Common Factor of 6812

Related Greatest Common Factor of 6814

Frequently Asked Questions on GCF of 6812 and 6814

1. What is the GCF of 6812 and 6814?

Answer: GCF of 6812 and 6814 is 2.

2. 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.

3. What are the Factors of 6814?

Answer: Factors of 6814 are 1, 2, 3407, 6814. There are 4 integers that are factors of 6814. The greatest factor of 6814 is 6814.

4. How to Find the GCF of 6812 and 6814?

Answer:

Greatest Common Factor of 6812 and 6814 = 2

Step 1: Find the prime factorization of 6812

6812 = 2 x 2 x 13 x 131

Step 2: Find the prime factorization of 6814

6814 = 2 x 3407

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 6812 and 6814 is 2