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 9306, 9308 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9306 and 9308 is 2.
GCF(9306,9308) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9306
2 | 9306 |
3 | 4653 |
3 | 1551 |
11 | 517 |
47 | 47 |
1 |
Prime factors of 9306 are 2,3,11,47. Prime factorization of 9306 in exponential form is:
9306 = 21×32×111×471
Prime Factorization of 9308
2 | 9308 |
2 | 4654 |
13 | 2327 |
179 | 179 |
1 |
Prime factors of 9308 are 2,13,179. Prime factorization of 9308 in exponential form is:
9308 = 22×131×1791
∴ So by taking common prime factors GCF of 9306 and 9308 is 2
Factors of 9306
List of positive integer factors of 9306 that divides 9306 without a remainder.
1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306
Factors of 9308
List of positive integer factors of 9308 that divides 9308 without a remainder.
1,2,4,13,26,52,179,358,716,2327,4654,9308
Greatest Common Factor
We found the factors and prime factorization of 9306 and 9308. The biggest common factor number is the GCF number.
So the greatest common factor 9306 and 9308 is 2.
Also check out the Least Common Multiple of 9306 and 9308
(i) The GCF of 9306 and 9308 is associative
GCF of 9306 and 9308 = GCF of 9308 and 9306
1. What is the GCF of 9306 and 9308?
Answer: GCF of 9306 and 9308 is 2.
2. What are the Factors of 9306?
Answer: Factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306. There are 24 integers that are factors of 9306. The greatest factor of 9306 is 9306.
3. What are the Factors of 9308?
Answer: Factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308. There are 12 integers that are factors of 9308. The greatest factor of 9308 is 9308.
4. How to Find the GCF of 9306 and 9308?
Answer:
Greatest Common Factor of 9306 and 9308 = 2
Step 1: Find the prime factorization of 9306
9306 = 2 x 3 x 3 x 11 x 47
Step 2: Find the prime factorization of 9308
9308 = 2 x 2 x 13 x 179
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 9306 and 9308 is 2