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 9831, 9834 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9831 and 9834 is 3.
GCF(9831,9834) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9834
2 | 9834 |
3 | 4917 |
11 | 1639 |
149 | 149 |
1 |
Prime factors of 9834 are 2,3,11,149. Prime factorization of 9834 in exponential form is:
9834 = 21×31×111×1491
∴ So by taking common prime factors GCF of 9831 and 9834 is 3
Factors of 9831
List of positive integer factors of 9831 that divides 9831 without a remainder.
1,3,29,87,113,339,3277,9831
Factors of 9834
List of positive integer factors of 9834 that divides 9834 without a remainder.
1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834
Greatest Common Factor
We found the factors and prime factorization of 9831 and 9834. The biggest common factor number is the GCF number.
So the greatest common factor 9831 and 9834 is 3.
Also check out the Least Common Multiple of 9831 and 9834
(i) The GCF of 9831 and 9834 is associative
GCF of 9831 and 9834 = GCF of 9834 and 9831
1. What is the GCF of 9831 and 9834?
Answer: GCF of 9831 and 9834 is 3.
2. 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.
3. What are the Factors of 9834?
Answer: Factors of 9834 are 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834. There are 16 integers that are factors of 9834. The greatest factor of 9834 is 9834.
4. How to Find the GCF of 9831 and 9834?
Answer:
Greatest Common Factor of 9831 and 9834 = 3
Step 1: Find the prime factorization of 9831
9831 = 3 x 29 x 113
Step 2: Find the prime factorization of 9834
9834 = 2 x 3 x 11 x 149
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 9831 and 9834 is 3