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 9912, 9916 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9912 and 9916 is 4.
GCF(9912,9916) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9912
2 | 9912 |
2 | 4956 |
2 | 2478 |
3 | 1239 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 9912 are 2,3,7,59. Prime factorization of 9912 in exponential form is:
9912 = 23×31×71×591
Prime Factorization of 9916
2 | 9916 |
2 | 4958 |
37 | 2479 |
67 | 67 |
1 |
Prime factors of 9916 are 2,37,67. Prime factorization of 9916 in exponential form is:
9916 = 22×371×671
∴ So by taking common prime factors GCF of 9912 and 9916 is 4
Factors of 9912
List of positive integer factors of 9912 that divides 9912 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912
Factors of 9916
List of positive integer factors of 9916 that divides 9916 without a remainder.
1,2,4,37,67,74,134,148,268,2479,4958,9916
Greatest Common Factor
We found the factors and prime factorization of 9912 and 9916. The biggest common factor number is the GCF number.
So the greatest common factor 9912 and 9916 is 4.
Also check out the Least Common Multiple of 9912 and 9916
(i) The GCF of 9912 and 9916 is associative
GCF of 9912 and 9916 = GCF of 9916 and 9912
1. What is the GCF of 9912 and 9916?
Answer: GCF of 9912 and 9916 is 4.
2. What are the Factors of 9912?
Answer: Factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912. There are 32 integers that are factors of 9912. The greatest factor of 9912 is 9912.
3. What are the Factors of 9916?
Answer: Factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916. There are 12 integers that are factors of 9916. The greatest factor of 9916 is 9916.
4. How to Find the GCF of 9912 and 9916?
Answer:
Greatest Common Factor of 9912 and 9916 = 4
Step 1: Find the prime factorization of 9912
9912 = 2 x 2 x 2 x 3 x 7 x 59
Step 2: Find the prime factorization of 9916
9916 = 2 x 2 x 37 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 9912 and 9916 is 4