Greatest Common Factor of 6822 and 6830

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 6822, 6830 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6822 and 6830 is 2.

GCF(6822,6830) = 2

GCF of 6822 and 6830

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

GCF of:
and

Greatest Common Factor of 6822 and 6830

GCF of 6822 and 6830 is 2

Prime Factorization of 6822


2 6822
3 3411
3 1137
379 379
1

Prime factors of 6822 are 2,3,379. Prime factorization of 6822 in exponential form is:

6822 = 21×32×3791

Prime Factorization of 6830


2 6830
5 3415
683 683
1

Prime factors of 6830 are 2,5,683. Prime factorization of 6830 in exponential form is:

6830 = 21×51×6831

∴ So by taking common prime factors GCF of 6822 and 6830 is 2

Greatest Common Factor of 6822 and 6830 by matching factors method

Factors of 6822

List of positive integer factors of 6822 that divides 6822 without a remainder.

1,2,3,6,9,18,379,758,1137,2274,3411,6822

Factors of 6830

List of positive integer factors of 6830 that divides 6830 without a remainder.

1,2,5,10,683,1366,3415,6830

Greatest Common Factor

We found the factors and prime factorization of 6822 and 6830. The biggest common factor number is the GCF number.
So the greatest common factor 6822 and 6830 is 2.

Also check out the Least Common Multiple of 6822 and 6830

Properties of GCF 6822 and 6830

(i) The GCF of 6822 and 6830 is associative

GCF of 6822 and 6830 = GCF of 6830 and 6822

Related Greatest Common Factor of 6822

Related Greatest Common Factor of 6830

Frequently Asked Questions on GCF of 6822 and 6830

1. What is the GCF of 6822 and 6830?

Answer: GCF of 6822 and 6830 is 2.

2. What are the Factors of 6822?

Answer: Factors of 6822 are 1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822. There are 12 integers that are factors of 6822. The greatest factor of 6822 is 6822.

3. What are the Factors of 6830?

Answer: Factors of 6830 are 1, 2, 5, 10, 683, 1366, 3415, 6830. There are 8 integers that are factors of 6830. The greatest factor of 6830 is 6830.

4. How to Find the GCF of 6822 and 6830?

Answer:

Greatest Common Factor of 6822 and 6830 = 2

Step 1: Find the prime factorization of 6822

6822 = 2 x 3 x 3 x 379

Step 2: Find the prime factorization of 6830

6830 = 2 x 5 x 683

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 6822 and 6830 is 2