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, 6806 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6804 and 6806 is 2.
GCF(6804,6806) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 6806
2 | 6806 |
41 | 3403 |
83 | 83 |
1 |
Prime factors of 6806 are 2,41,83. Prime factorization of 6806 in exponential form is:
6806 = 21×411×831
∴ So by taking common prime factors GCF of 6804 and 6806 is 2
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 6806
List of positive integer factors of 6806 that divides 6806 without a remainder.
1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors and prime factorization of 6804 and 6806. The biggest common factor number is the GCF number.
So the greatest common factor 6804 and 6806 is 2.
Also check out the Least Common Multiple of 6804 and 6806
(i) The GCF of 6804 and 6806 is associative
GCF of 6804 and 6806 = GCF of 6806 and 6804
1. What is the GCF of 6804 and 6806?
Answer: GCF of 6804 and 6806 is 2.
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 6806?
Answer: Factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806. There are 8 integers that are factors of 6806. The greatest factor of 6806 is 6806.
4. How to Find the GCF of 6804 and 6806?
Answer:
Greatest Common Factor of 6804 and 6806 = 2
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 6806
6806 = 2 x 41 x 83
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 6804 and 6806 is 2