Greatest Common Factor of 6798 and 6804

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 6798, 6804 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6798 and 6804 is 6.

GCF(6798,6804) = 6

GCF of 6798 and 6804

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

GCF of:
and

Greatest Common Factor of 6798 and 6804

GCF of 6798 and 6804 is 6

Prime Factorization of 6798


2 6798
3 3399
11 1133
103 103
1

Prime factors of 6798 are 2,3,11,103. Prime factorization of 6798 in exponential form is:

6798 = 21×31×111×1031

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

∴ So by taking common prime factors GCF of 6798 and 6804 is 6

Greatest Common Factor of 6798 and 6804 by matching factors method

Factors of 6798

List of positive integer factors of 6798 that divides 6798 without a remainder.

1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798

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

Greatest Common Factor

We found the factors and prime factorization of 6798 and 6804. The biggest common factor number is the GCF number.
So the greatest common factor 6798 and 6804 is 6.

Also check out the Least Common Multiple of 6798 and 6804

Properties of GCF 6798 and 6804

(i) The GCF of 6798 and 6804 is associative

GCF of 6798 and 6804 = GCF of 6804 and 6798

Related Greatest Common Factor of 6798

Related Greatest Common Factor of 6804

Frequently Asked Questions on GCF of 6798 and 6804

1. What is the GCF of 6798 and 6804?

Answer: GCF of 6798 and 6804 is 6.

2. What are the Factors of 6798?

Answer: Factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798. There are 16 integers that are factors of 6798. The greatest factor of 6798 is 6798.

3. 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.

4. How to Find the GCF of 6798 and 6804?

Answer:

Greatest Common Factor of 6798 and 6804 = 6

Step 1: Find the prime factorization of 6798

6798 = 2 x 3 x 11 x 103

Step 2: Find the prime factorization of 6804

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

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 6798 and 6804 is 6