Greatest Common Factor of 6804 and 6810

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 6804, 6810 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6804 and 6810 is 6.

GCF(6804,6810) = 6

GCF of 6804 and 6810

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

GCF of:
and

Greatest Common Factor of 6804 and 6810

GCF of 6804 and 6810 is 6

Prime Factorization of 6804


2 6804
2 3402
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 6804 are 2,3,7. Prime factorization of 6804 in exponential form is:

6804 = 22×35×71

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

∴ So by taking common prime factors GCF of 6804 and 6810 is 6

Greatest Common Factor of 6804 and 6810 by matching factors method

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804

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

Greatest Common Factor

We found the factors and prime factorization of 6804 and 6810. The biggest common factor number is the GCF number.
So the greatest common factor 6804 and 6810 is 6.

Also check out the Least Common Multiple of 6804 and 6810

Properties of GCF 6804 and 6810

(i) The GCF of 6804 and 6810 is associative

GCF of 6804 and 6810 = GCF of 6810 and 6804

Related Greatest Common Factor of 6804

Related Greatest Common Factor of 6810

Frequently Asked Questions on GCF of 6804 and 6810

1. What is the GCF of 6804 and 6810?

Answer: GCF of 6804 and 6810 is 6.

2. What are the Factors of 6804?

Answer: Factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804. There are 36 integers that are factors of 6804. The greatest factor of 6804 is 6804.

3. 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.

4. How to Find the GCF of 6804 and 6810?

Answer:

Greatest Common Factor of 6804 and 6810 = 6

Step 1: Find the prime factorization of 6804

6804 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 6810

6810 = 2 x 3 x 5 x 227

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 6804 and 6810 is 6