Greatest Common Factor of 6810 and 6816

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 6810, 6816 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6810 and 6816 is 6.

GCF(6810,6816) = 6

GCF of 6810 and 6816

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

GCF of:
and

Greatest Common Factor of 6810 and 6816

GCF of 6810 and 6816 is 6

Prime Factorization of 6810


2 6810
3 3405
5 1135
227 227
1

Prime factors of 6810 are 2,3,5,227. Prime factorization of 6810 in exponential form is:

6810 = 21×31×51×2271

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

∴ So by taking common prime factors GCF of 6810 and 6816 is 6

Greatest Common Factor of 6810 and 6816 by matching factors method

Factors of 6810

List of positive integer factors of 6810 that divides 6810 without a remainder.

1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810

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

Greatest Common Factor

We found the factors and prime factorization of 6810 and 6816. The biggest common factor number is the GCF number.
So the greatest common factor 6810 and 6816 is 6.

Also check out the Least Common Multiple of 6810 and 6816

Properties of GCF 6810 and 6816

(i) The GCF of 6810 and 6816 is associative

GCF of 6810 and 6816 = GCF of 6816 and 6810

Related Greatest Common Factor of 6810

Related Greatest Common Factor of 6816

Frequently Asked Questions on GCF of 6810 and 6816

1. What is the GCF of 6810 and 6816?

Answer: GCF of 6810 and 6816 is 6.

2. What are the Factors of 6810?

Answer: Factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810. There are 16 integers that are factors of 6810. The greatest factor of 6810 is 6810.

3. 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.

4. How to Find the GCF of 6810 and 6816?

Answer:

Greatest Common Factor of 6810 and 6816 = 6

Step 1: Find the prime factorization of 6810

6810 = 2 x 3 x 5 x 227

Step 2: Find the prime factorization of 6816

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

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 6810 and 6816 is 6