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 6792, 6797 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6792 and 6797 is 1.
GCF(6792,6797) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6792
2 | 6792 |
2 | 3396 |
2 | 1698 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 6792 are 2,3,283. Prime factorization of 6792 in exponential form is:
6792 = 23×31×2831
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
∴ So by taking common prime factors GCF of 6792 and 6797 is 1
Factors of 6792
List of positive integer factors of 6792 that divides 6792 without a remainder.
1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792
Factors of 6797
List of positive integer factors of 6797 that divides 6797 without a remainder.
1,7,971,6797
Greatest Common Factor
We found the factors and prime factorization of 6792 and 6797. The biggest common factor number is the GCF number.
So the greatest common factor 6792 and 6797 is 1.
Also check out the Least Common Multiple of 6792 and 6797
(i) The GCF of 6792 and 6797 is associative
GCF of 6792 and 6797 = GCF of 6797 and 6792
1. What is the GCF of 6792 and 6797?
Answer: GCF of 6792 and 6797 is 1.
2. What are the Factors of 6792?
Answer: Factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792. There are 16 integers that are factors of 6792. The greatest factor of 6792 is 6792.
3. 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.
4. How to Find the GCF of 6792 and 6797?
Answer:
Greatest Common Factor of 6792 and 6797 = 1
Step 1: Find the prime factorization of 6792
6792 = 2 x 2 x 2 x 3 x 283
Step 2: Find the prime factorization of 6797
6797 = 7 x 971
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6792 and 6797 is 1