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 6805, 6810 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6805 and 6810 is 5.
GCF(6805,6810) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6805
5 | 6805 |
1361 | 1361 |
1 |
Prime factors of 6805 are 5,1361. Prime factorization of 6805 in exponential form is:
6805 = 51×13611
Prime Factorization of 6810
2 | 6810 |
3 | 3405 |
5 | 1135 |
227 | 227 |
1 |
Prime factors of 6810 are 2,3,5,227. Prime factorization of 6810 in exponential form is:
6810 = 21×31×51×2271
∴ So by taking common prime factors GCF of 6805 and 6810 is 5
Factors of 6805
List of positive integer factors of 6805 that divides 6805 without a remainder.
1,5,1361,6805
Factors of 6810
List of positive integer factors of 6810 that divides 6810 without a remainder.
1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810
Greatest Common Factor
We found the factors and prime factorization of 6805 and 6810. The biggest common factor number is the GCF number.
So the greatest common factor 6805 and 6810 is 5.
Also check out the Least Common Multiple of 6805 and 6810
(i) The GCF of 6805 and 6810 is associative
GCF of 6805 and 6810 = GCF of 6810 and 6805
1. What is the GCF of 6805 and 6810?
Answer: GCF of 6805 and 6810 is 5.
2. What are the Factors of 6805?
Answer: Factors of 6805 are 1, 5, 1361, 6805. There are 4 integers that are factors of 6805. The greatest factor of 6805 is 6805.
3. What are the Factors of 6810?
Answer: Factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810. There are 16 integers that are factors of 6810. The greatest factor of 6810 is 6810.
4. How to Find the GCF of 6805 and 6810?
Answer:
Greatest Common Factor of 6805 and 6810 = 5
Step 1: Find the prime factorization of 6805
6805 = 5 x 1361
Step 2: Find the prime factorization of 6810
6810 = 2 x 3 x 5 x 227
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 6805 and 6810 is 5