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 9838, 9842 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9838 and 9842 is 2.
GCF(9838,9842) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9838
2 | 9838 |
4919 | 4919 |
1 |
Prime factors of 9838 are 2,4919. Prime factorization of 9838 in exponential form is:
9838 = 21×49191
Prime Factorization of 9842
2 | 9842 |
7 | 4921 |
19 | 703 |
37 | 37 |
1 |
Prime factors of 9842 are 2,7,19,37. Prime factorization of 9842 in exponential form is:
9842 = 21×71×191×371
∴ So by taking common prime factors GCF of 9838 and 9842 is 2
Factors of 9838
List of positive integer factors of 9838 that divides 9838 without a remainder.
1,2,4919,9838
Factors of 9842
List of positive integer factors of 9842 that divides 9842 without a remainder.
1,2,7,14,19,37,38,74,133,259,266,518,703,1406,4921,9842
Greatest Common Factor
We found the factors and prime factorization of 9838 and 9842. The biggest common factor number is the GCF number.
So the greatest common factor 9838 and 9842 is 2.
Also check out the Least Common Multiple of 9838 and 9842
(i) The GCF of 9838 and 9842 is associative
GCF of 9838 and 9842 = GCF of 9842 and 9838
1. What is the GCF of 9838 and 9842?
Answer: GCF of 9838 and 9842 is 2.
2. What are the Factors of 9838?
Answer: Factors of 9838 are 1, 2, 4919, 9838. There are 4 integers that are factors of 9838. The greatest factor of 9838 is 9838.
3. What are the Factors of 9842?
Answer: Factors of 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842. There are 16 integers that are factors of 9842. The greatest factor of 9842 is 9842.
4. How to Find the GCF of 9838 and 9842?
Answer:
Greatest Common Factor of 9838 and 9842 = 2
Step 1: Find the prime factorization of 9838
9838 = 2 x 4919
Step 2: Find the prime factorization of 9842
9842 = 2 x 7 x 19 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9838 and 9842 is 2