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 6828, 6831 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6828 and 6831 is 3.
GCF(6828,6831) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6828
2 | 6828 |
2 | 3414 |
3 | 1707 |
569 | 569 |
1 |
Prime factors of 6828 are 2,3,569. Prime factorization of 6828 in exponential form is:
6828 = 22×31×5691
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
∴ So by taking common prime factors GCF of 6828 and 6831 is 3
Factors of 6828
List of positive integer factors of 6828 that divides 6828 without a remainder.
1,2,3,4,6,12,569,1138,1707,2276,3414,6828
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
Greatest Common Factor
We found the factors and prime factorization of 6828 and 6831. The biggest common factor number is the GCF number.
So the greatest common factor 6828 and 6831 is 3.
Also check out the Least Common Multiple of 6828 and 6831
(i) The GCF of 6828 and 6831 is associative
GCF of 6828 and 6831 = GCF of 6831 and 6828
1. What is the GCF of 6828 and 6831?
Answer: GCF of 6828 and 6831 is 3.
2. What are the Factors of 6828?
Answer: Factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828. There are 12 integers that are factors of 6828. The greatest factor of 6828 is 6828.
3. 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.
4. How to Find the GCF of 6828 and 6831?
Answer:
Greatest Common Factor of 6828 and 6831 = 3
Step 1: Find the prime factorization of 6828
6828 = 2 x 2 x 3 x 569
Step 2: Find the prime factorization of 6831
6831 = 3 x 3 x 3 x 11 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 6828 and 6831 is 3