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 9096, 9102 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9096 and 9102 is 6.
GCF(9096,9102) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9096
2 | 9096 |
2 | 4548 |
2 | 2274 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 9096 are 2,3,379. Prime factorization of 9096 in exponential form is:
9096 = 23×31×3791
Prime Factorization of 9102
2 | 9102 |
3 | 4551 |
37 | 1517 |
41 | 41 |
1 |
Prime factors of 9102 are 2,3,37,41. Prime factorization of 9102 in exponential form is:
9102 = 21×31×371×411
∴ So by taking common prime factors GCF of 9096 and 9102 is 6
Factors of 9096
List of positive integer factors of 9096 that divides 9096 without a remainder.
1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096
Factors of 9102
List of positive integer factors of 9102 that divides 9102 without a remainder.
1,2,3,6,37,41,74,82,111,123,222,246,1517,3034,4551,9102
Greatest Common Factor
We found the factors and prime factorization of 9096 and 9102. The biggest common factor number is the GCF number.
So the greatest common factor 9096 and 9102 is 6.
Also check out the Least Common Multiple of 9096 and 9102
(i) The GCF of 9096 and 9102 is associative
GCF of 9096 and 9102 = GCF of 9102 and 9096
1. What is the GCF of 9096 and 9102?
Answer: GCF of 9096 and 9102 is 6.
2. What are the Factors of 9096?
Answer: Factors of 9096 are 1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096. There are 16 integers that are factors of 9096. The greatest factor of 9096 is 9096.
3. What are the Factors of 9102?
Answer: Factors of 9102 are 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102. There are 16 integers that are factors of 9102. The greatest factor of 9102 is 9102.
4. How to Find the GCF of 9096 and 9102?
Answer:
Greatest Common Factor of 9096 and 9102 = 6
Step 1: Find the prime factorization of 9096
9096 = 2 x 2 x 2 x 3 x 379
Step 2: Find the prime factorization of 9102
9102 = 2 x 3 x 37 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 9096 and 9102 is 6