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 6801, 6809 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6801 and 6809 is 1.
GCF(6801,6809) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6801
3 | 6801 |
2267 | 2267 |
1 |
Prime factors of 6801 are 3,2267. Prime factorization of 6801 in exponential form is:
6801 = 31×22671
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
∴ So by taking common prime factors GCF of 6801 and 6809 is 1
Factors of 6801
List of positive integer factors of 6801 that divides 6801 without a remainder.
1,3,2267,6801
Factors of 6809
List of positive integer factors of 6809 that divides 6809 without a remainder.
1,11,619,6809
Greatest Common Factor
We found the factors and prime factorization of 6801 and 6809. The biggest common factor number is the GCF number.
So the greatest common factor 6801 and 6809 is 1.
Also check out the Least Common Multiple of 6801 and 6809
(i) The GCF of 6801 and 6809 is associative
GCF of 6801 and 6809 = GCF of 6809 and 6801
1. What is the GCF of 6801 and 6809?
Answer: GCF of 6801 and 6809 is 1.
2. What are the Factors of 6801?
Answer: Factors of 6801 are 1, 3, 2267, 6801. There are 4 integers that are factors of 6801. The greatest factor of 6801 is 6801.
3. 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.
4. How to Find the GCF of 6801 and 6809?
Answer:
Greatest Common Factor of 6801 and 6809 = 1
Step 1: Find the prime factorization of 6801
6801 = 3 x 2267
Step 2: Find the prime factorization of 6809
6809 = 11 x 619
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 6801 and 6809 is 1