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 6831, 6839 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6831 and 6839 is 1.
GCF(6831,6839) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6831
3 | 6831 |
3 | 2277 |
3 | 759 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 6831 are 3,11,23. Prime factorization of 6831 in exponential form is:
6831 = 33×111×231
Prime Factorization of 6839
7 | 6839 |
977 | 977 |
1 |
Prime factors of 6839 are 7,977. Prime factorization of 6839 in exponential form is:
6839 = 71×9771
∴ So by taking common prime factors GCF of 6831 and 6839 is 1
Factors of 6831
List of positive integer factors of 6831 that divides 6831 without a remainder.
1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831
Factors of 6839
List of positive integer factors of 6839 that divides 6839 without a remainder.
1,7,977,6839
Greatest Common Factor
We found the factors and prime factorization of 6831 and 6839. The biggest common factor number is the GCF number.
So the greatest common factor 6831 and 6839 is 1.
Also check out the Least Common Multiple of 6831 and 6839
(i) The GCF of 6831 and 6839 is associative
GCF of 6831 and 6839 = GCF of 6839 and 6831
1. What is the GCF of 6831 and 6839?
Answer: GCF of 6831 and 6839 is 1.
2. What are the Factors of 6831?
Answer: Factors of 6831 are 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831. There are 16 integers that are factors of 6831. The greatest factor of 6831 is 6831.
3. What are the Factors of 6839?
Answer: Factors of 6839 are 1, 7, 977, 6839. There are 4 integers that are factors of 6839. The greatest factor of 6839 is 6839.
4. How to Find the GCF of 6831 and 6839?
Answer:
Greatest Common Factor of 6831 and 6839 = 1
Step 1: Find the prime factorization of 6831
6831 = 3 x 3 x 3 x 11 x 23
Step 2: Find the prime factorization of 6839
6839 = 7 x 977
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 6831 and 6839 is 1