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 9828, 9831 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9828 and 9831 is 3.
GCF(9828,9831) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9828
2 | 9828 |
2 | 4914 |
3 | 2457 |
3 | 819 |
3 | 273 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 9828 are 2,3,7,13. Prime factorization of 9828 in exponential form is:
9828 = 22×33×71×131
Prime Factorization of 9831
3 | 9831 |
29 | 3277 |
113 | 113 |
1 |
Prime factors of 9831 are 3,29,113. Prime factorization of 9831 in exponential form is:
9831 = 31×291×1131
∴ So by taking common prime factors GCF of 9828 and 9831 is 3
Factors of 9828
List of positive integer factors of 9828 that divides 9828 without a remainder.
1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Factors of 9831
List of positive integer factors of 9831 that divides 9831 without a remainder.
1,3,29,87,113,339,3277,9831
Greatest Common Factor
We found the factors and prime factorization of 9828 and 9831. The biggest common factor number is the GCF number.
So the greatest common factor 9828 and 9831 is 3.
Also check out the Least Common Multiple of 9828 and 9831
(i) The GCF of 9828 and 9831 is associative
GCF of 9828 and 9831 = GCF of 9831 and 9828
1. What is the GCF of 9828 and 9831?
Answer: GCF of 9828 and 9831 is 3.
2. What are the Factors of 9828?
Answer: Factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828. There are 48 integers that are factors of 9828. The greatest factor of 9828 is 9828.
3. What are the Factors of 9831?
Answer: Factors of 9831 are 1, 3, 29, 87, 113, 339, 3277, 9831. There are 8 integers that are factors of 9831. The greatest factor of 9831 is 9831.
4. How to Find the GCF of 9828 and 9831?
Answer:
Greatest Common Factor of 9828 and 9831 = 3
Step 1: Find the prime factorization of 9828
9828 = 2 x 2 x 3 x 3 x 3 x 7 x 13
Step 2: Find the prime factorization of 9831
9831 = 3 x 29 x 113
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 9828 and 9831 is 3