Greatest Common Factor of 6816 and 6822

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 6816, 6822 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6816 and 6822 is 6.

GCF(6816,6822) = 6

GCF of 6816 and 6822

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

GCF of:
and

Greatest Common Factor of 6816 and 6822

GCF of 6816 and 6822 is 6

Prime Factorization of 6816


2 6816
2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 6816 are 2,3,71. Prime factorization of 6816 in exponential form is:

6816 = 25×31×711

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

∴ So by taking common prime factors GCF of 6816 and 6822 is 6

Greatest Common Factor of 6816 and 6822 by matching factors method

Factors of 6816

List of positive integer factors of 6816 that divides 6816 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816

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

Greatest Common Factor

We found the factors and prime factorization of 6816 and 6822. The biggest common factor number is the GCF number.
So the greatest common factor 6816 and 6822 is 6.

Also check out the Least Common Multiple of 6816 and 6822

Properties of GCF 6816 and 6822

(i) The GCF of 6816 and 6822 is associative

GCF of 6816 and 6822 = GCF of 6822 and 6816

Related Greatest Common Factor of 6816

Related Greatest Common Factor of 6822

Frequently Asked Questions on GCF of 6816 and 6822

1. What is the GCF of 6816 and 6822?

Answer: GCF of 6816 and 6822 is 6.

2. What are the Factors of 6816?

Answer: Factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816. There are 24 integers that are factors of 6816. The greatest factor of 6816 is 6816.

3. 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.

4. How to Find the GCF of 6816 and 6822?

Answer:

Greatest Common Factor of 6816 and 6822 = 6

Step 1: Find the prime factorization of 6816

6816 = 2 x 2 x 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 6822

6822 = 2 x 3 x 3 x 379

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6816 and 6822 is 6