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 6795, 6796 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6795 and 6796 is 1.
GCF(6795,6796) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6795
3 | 6795 |
3 | 2265 |
5 | 755 |
151 | 151 |
1 |
Prime factors of 6795 are 3,5,151. Prime factorization of 6795 in exponential form is:
6795 = 32×51×1511
Prime Factorization of 6796
2 | 6796 |
2 | 3398 |
1699 | 1699 |
1 |
Prime factors of 6796 are 2,1699. Prime factorization of 6796 in exponential form is:
6796 = 22×16991
∴ So by taking common prime factors GCF of 6795 and 6796 is 1
Factors of 6795
List of positive integer factors of 6795 that divides 6795 without a remainder.
1,3,5,9,15,45,151,453,755,1359,2265,6795
Factors of 6796
List of positive integer factors of 6796 that divides 6796 without a remainder.
1,2,4,1699,3398,6796
Greatest Common Factor
We found the factors and prime factorization of 6795 and 6796. The biggest common factor number is the GCF number.
So the greatest common factor 6795 and 6796 is 1.
Also check out the Least Common Multiple of 6795 and 6796
(i) The GCF of 6795 and 6796 is associative
GCF of 6795 and 6796 = GCF of 6796 and 6795
1. What is the GCF of 6795 and 6796?
Answer: GCF of 6795 and 6796 is 1.
2. What are the Factors of 6795?
Answer: Factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795. There are 12 integers that are factors of 6795. The greatest factor of 6795 is 6795.
3. What are the Factors of 6796?
Answer: Factors of 6796 are 1, 2, 4, 1699, 3398, 6796. There are 6 integers that are factors of 6796. The greatest factor of 6796 is 6796.
4. How to Find the GCF of 6795 and 6796?
Answer:
Greatest Common Factor of 6795 and 6796 = 1
Step 1: Find the prime factorization of 6795
6795 = 3 x 3 x 5 x 151
Step 2: Find the prime factorization of 6796
6796 = 2 x 2 x 1699
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 6795 and 6796 is 1