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 9964, 9966 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9964 and 9966 is 2.
GCF(9964,9966) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9966
2 | 9966 |
3 | 4983 |
11 | 1661 |
151 | 151 |
1 |
Prime factors of 9966 are 2,3,11,151. Prime factorization of 9966 in exponential form is:
9966 = 21×31×111×1511
∴ So by taking common prime factors GCF of 9964 and 9966 is 2
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
Factors of 9966
List of positive integer factors of 9966 that divides 9966 without a remainder.
1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Greatest Common Factor
We found the factors and prime factorization of 9964 and 9966. The biggest common factor number is the GCF number.
So the greatest common factor 9964 and 9966 is 2.
Also check out the Least Common Multiple of 9964 and 9966
(i) The GCF of 9964 and 9966 is associative
GCF of 9964 and 9966 = GCF of 9966 and 9964
1. What is the GCF of 9964 and 9966?
Answer: GCF of 9964 and 9966 is 2.
2. 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.
3. What are the Factors of 9966?
Answer: Factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966. There are 16 integers that are factors of 9966. The greatest factor of 9966 is 9966.
4. How to Find the GCF of 9964 and 9966?
Answer:
Greatest Common Factor of 9964 and 9966 = 2
Step 1: Find the prime factorization of 9964
9964 = 2 x 2 x 47 x 53
Step 2: Find the prime factorization of 9966
9966 = 2 x 3 x 11 x 151
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 9964 and 9966 is 2