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 6797, 6804 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6797 and 6804 is 7.
GCF(6797,6804) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6797
7 | 6797 |
971 | 971 |
1 |
Prime factors of 6797 are 7,971. Prime factorization of 6797 in exponential form is:
6797 = 71×9711
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 6797 and 6804 is 7
Factors of 6797
List of positive integer factors of 6797 that divides 6797 without a remainder.
1,7,971,6797
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 6797 and 6804. The biggest common factor number is the GCF number.
So the greatest common factor 6797 and 6804 is 7.
Also check out the Least Common Multiple of 6797 and 6804
(i) The GCF of 6797 and 6804 is associative
GCF of 6797 and 6804 = GCF of 6804 and 6797
1. What is the GCF of 6797 and 6804?
Answer: GCF of 6797 and 6804 is 7.
2. What are the Factors of 6797?
Answer: Factors of 6797 are 1, 7, 971, 6797. There are 4 integers that are factors of 6797. The greatest factor of 6797 is 6797.
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 6797 and 6804?
Answer:
Greatest Common Factor of 6797 and 6804 = 7
Step 1: Find the prime factorization of 6797
6797 = 7 x 971
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 = 7
Step 4: Therefore, the greatest common factor of 6797 and 6804 is 7