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 9837, 9844 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9837 and 9844 is 1.
GCF(9837,9844) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9844
2 | 9844 |
2 | 4922 |
23 | 2461 |
107 | 107 |
1 |
Prime factors of 9844 are 2,23,107. Prime factorization of 9844 in exponential form is:
9844 = 22×231×1071
∴ So by taking common prime factors GCF of 9837 and 9844 is 1
Factors of 9837
List of positive integer factors of 9837 that divides 9837 without a remainder.
1,3,9,1093,3279,9837
Factors of 9844
List of positive integer factors of 9844 that divides 9844 without a remainder.
1,2,4,23,46,92,107,214,428,2461,4922,9844
Greatest Common Factor
We found the factors and prime factorization of 9837 and 9844. The biggest common factor number is the GCF number.
So the greatest common factor 9837 and 9844 is 1.
Also check out the Least Common Multiple of 9837 and 9844
(i) The GCF of 9837 and 9844 is associative
GCF of 9837 and 9844 = GCF of 9844 and 9837
1. What is the GCF of 9837 and 9844?
Answer: GCF of 9837 and 9844 is 1.
2. 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.
3. What are the Factors of 9844?
Answer: Factors of 9844 are 1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844. There are 12 integers that are factors of 9844. The greatest factor of 9844 is 9844.
4. How to Find the GCF of 9837 and 9844?
Answer:
Greatest Common Factor of 9837 and 9844 = 1
Step 1: Find the prime factorization of 9837
9837 = 3 x 3 x 1093
Step 2: Find the prime factorization of 9844
9844 = 2 x 2 x 23 x 107
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9837 and 9844 is 1