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 6817, 6822 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6817 and 6822 is 1.
GCF(6817,6822) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6817
17 | 6817 |
401 | 401 |
1 |
Prime factors of 6817 are 17,401. Prime factorization of 6817 in exponential form is:
6817 = 171×4011
Prime Factorization of 6822
2 | 6822 |
3 | 3411 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 6822 are 2,3,379. Prime factorization of 6822 in exponential form is:
6822 = 21×32×3791
∴ So by taking common prime factors GCF of 6817 and 6822 is 1
Factors of 6817
List of positive integer factors of 6817 that divides 6817 without a remainder.
1,17,401,6817
Factors of 6822
List of positive integer factors of 6822 that divides 6822 without a remainder.
1,2,3,6,9,18,379,758,1137,2274,3411,6822
Greatest Common Factor
We found the factors and prime factorization of 6817 and 6822. The biggest common factor number is the GCF number.
So the greatest common factor 6817 and 6822 is 1.
Also check out the Least Common Multiple of 6817 and 6822
(i) The GCF of 6817 and 6822 is associative
GCF of 6817 and 6822 = GCF of 6822 and 6817
1. What is the GCF of 6817 and 6822?
Answer: GCF of 6817 and 6822 is 1.
2. What are the Factors of 6817?
Answer: Factors of 6817 are 1, 17, 401, 6817. There are 4 integers that are factors of 6817. The greatest factor of 6817 is 6817.
3. What are the Factors of 6822?
Answer: Factors of 6822 are 1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411, 6822. There are 12 integers that are factors of 6822. The greatest factor of 6822 is 6822.
4. How to Find the GCF of 6817 and 6822?
Answer:
Greatest Common Factor of 6817 and 6822 = 1
Step 1: Find the prime factorization of 6817
6817 = 17 x 401
Step 2: Find the prime factorization of 6822
6822 = 2 x 3 x 3 x 379
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 6817 and 6822 is 1