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 9834, 9837 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9834 and 9837 is 3.
GCF(9834,9837) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9837
3 | 9837 |
3 | 3279 |
1093 | 1093 |
1 |
Prime factors of 9837 are 3,1093. Prime factorization of 9837 in exponential form is:
9837 = 32×10931
∴ So by taking common prime factors GCF of 9834 and 9837 is 3
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
Factors of 9837
List of positive integer factors of 9837 that divides 9837 without a remainder.
1,3,9,1093,3279,9837
Greatest Common Factor
We found the factors and prime factorization of 9834 and 9837. The biggest common factor number is the GCF number.
So the greatest common factor 9834 and 9837 is 3.
Also check out the Least Common Multiple of 9834 and 9837
(i) The GCF of 9834 and 9837 is associative
GCF of 9834 and 9837 = GCF of 9837 and 9834
1. What is the GCF of 9834 and 9837?
Answer: GCF of 9834 and 9837 is 3.
2. 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.
3. What are the Factors of 9837?
Answer: Factors of 9837 are 1, 3, 9, 1093, 3279, 9837. There are 6 integers that are factors of 9837. The greatest factor of 9837 is 9837.
4. How to Find the GCF of 9834 and 9837?
Answer:
Greatest Common Factor of 9834 and 9837 = 3
Step 1: Find the prime factorization of 9834
9834 = 2 x 3 x 11 x 149
Step 2: Find the prime factorization of 9837
9837 = 3 x 3 x 1093
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 9834 and 9837 is 3