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 6809, 6812 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6809 and 6812 is 1.
GCF(6809,6812) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6809
11 | 6809 |
619 | 619 |
1 |
Prime factors of 6809 are 11,619. Prime factorization of 6809 in exponential form is:
6809 = 111×6191
Prime Factorization of 6812
2 | 6812 |
2 | 3406 |
13 | 1703 |
131 | 131 |
1 |
Prime factors of 6812 are 2,13,131. Prime factorization of 6812 in exponential form is:
6812 = 22×131×1311
∴ So by taking common prime factors GCF of 6809 and 6812 is 1
Factors of 6809
List of positive integer factors of 6809 that divides 6809 without a remainder.
1,11,619,6809
Factors of 6812
List of positive integer factors of 6812 that divides 6812 without a remainder.
1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors and prime factorization of 6809 and 6812. The biggest common factor number is the GCF number.
So the greatest common factor 6809 and 6812 is 1.
Also check out the Least Common Multiple of 6809 and 6812
(i) The GCF of 6809 and 6812 is associative
GCF of 6809 and 6812 = GCF of 6812 and 6809
1. What is the GCF of 6809 and 6812?
Answer: GCF of 6809 and 6812 is 1.
2. What are the Factors of 6809?
Answer: Factors of 6809 are 1, 11, 619, 6809. There are 4 integers that are factors of 6809. The greatest factor of 6809 is 6809.
3. What are the Factors of 6812?
Answer: Factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812. There are 12 integers that are factors of 6812. The greatest factor of 6812 is 6812.
4. How to Find the GCF of 6809 and 6812?
Answer:
Greatest Common Factor of 6809 and 6812 = 1
Step 1: Find the prime factorization of 6809
6809 = 11 x 619
Step 2: Find the prime factorization of 6812
6812 = 2 x 2 x 13 x 131
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 6809 and 6812 is 1