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 6813, 6817 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6813 and 6817 is 1.
GCF(6813,6817) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6813
3 | 6813 |
3 | 2271 |
757 | 757 |
1 |
Prime factors of 6813 are 3,757. Prime factorization of 6813 in exponential form is:
6813 = 32×7571
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
∴ So by taking common prime factors GCF of 6813 and 6817 is 1
Factors of 6813
List of positive integer factors of 6813 that divides 6813 without a remainder.
1,3,9,757,2271,6813
Factors of 6817
List of positive integer factors of 6817 that divides 6817 without a remainder.
1,17,401,6817
Greatest Common Factor
We found the factors and prime factorization of 6813 and 6817. The biggest common factor number is the GCF number.
So the greatest common factor 6813 and 6817 is 1.
Also check out the Least Common Multiple of 6813 and 6817
(i) The GCF of 6813 and 6817 is associative
GCF of 6813 and 6817 = GCF of 6817 and 6813
1. What is the GCF of 6813 and 6817?
Answer: GCF of 6813 and 6817 is 1.
2. What are the Factors of 6813?
Answer: Factors of 6813 are 1, 3, 9, 757, 2271, 6813. There are 6 integers that are factors of 6813. The greatest factor of 6813 is 6813.
3. 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.
4. How to Find the GCF of 6813 and 6817?
Answer:
Greatest Common Factor of 6813 and 6817 = 1
Step 1: Find the prime factorization of 6813
6813 = 3 x 3 x 757
Step 2: Find the prime factorization of 6817
6817 = 17 x 401
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 6813 and 6817 is 1