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 9957, 9964 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9957 and 9964 is 1.
GCF(9957,9964) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9957
3 | 9957 |
3319 | 3319 |
1 |
Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:
9957 = 31×33191
Prime Factorization of 9964
2 | 9964 |
2 | 4982 |
47 | 2491 |
53 | 53 |
1 |
Prime factors of 9964 are 2,47,53. Prime factorization of 9964 in exponential form is:
9964 = 22×471×531
∴ So by taking common prime factors GCF of 9957 and 9964 is 1
Factors of 9957
List of positive integer factors of 9957 that divides 9957 without a remainder.
1,3,3319,9957
Factors of 9964
List of positive integer factors of 9964 that divides 9964 without a remainder.
1,2,4,47,53,94,106,188,212,2491,4982,9964
Greatest Common Factor
We found the factors and prime factorization of 9957 and 9964. The biggest common factor number is the GCF number.
So the greatest common factor 9957 and 9964 is 1.
Also check out the Least Common Multiple of 9957 and 9964
(i) The GCF of 9957 and 9964 is associative
GCF of 9957 and 9964 = GCF of 9964 and 9957
1. What is the GCF of 9957 and 9964?
Answer: GCF of 9957 and 9964 is 1.
2. What are the Factors of 9957?
Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.
3. What are the Factors of 9964?
Answer: Factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964. There are 12 integers that are factors of 9964. The greatest factor of 9964 is 9964.
4. How to Find the GCF of 9957 and 9964?
Answer:
Greatest Common Factor of 9957 and 9964 = 1
Step 1: Find the prime factorization of 9957
9957 = 3 x 3319
Step 2: Find the prime factorization of 9964
9964 = 2 x 2 x 47 x 53
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 9957 and 9964 is 1