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 828, 831 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 828 and 831 is 3.
GCF(828,831) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 828
2 | 828 |
2 | 414 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 828 are 2,3,23. Prime factorization of 828 in exponential form is:
828 = 22×32×231
Prime Factorization of 831
3 | 831 |
277 | 277 |
1 |
Prime factors of 831 are 3,277. Prime factorization of 831 in exponential form is:
831 = 31×2771
∴ So by taking common prime factors GCF of 828 and 831 is 3
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors and prime factorization of 828 and 831. The biggest common factor number is the GCF number.
So the greatest common factor 828 and 831 is 3.
Also check out the Least Common Multiple of 828 and 831
(i) The GCF of 828 and 831 is associative
GCF of 828 and 831 = GCF of 831 and 828
1. What is the GCF of 828 and 831?
Answer: GCF of 828 and 831 is 3.
2. What are the Factors of 828?
Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.
3. What are the Factors of 831?
Answer: Factors of 831 are 1, 3, 277, 831. There are 4 integers that are factors of 831. The greatest factor of 831 is 831.
4. How to Find the GCF of 828 and 831?
Answer:
Greatest Common Factor of 828 and 831 = 3
Step 1: Find the prime factorization of 828
828 = 2 x 2 x 3 x 3 x 23
Step 2: Find the prime factorization of 831
831 = 3 x 277
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 828 and 831 is 3