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 9256, 9264 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9256 and 9264 is 8.
GCF(9256,9264) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9256
2 | 9256 |
2 | 4628 |
2 | 2314 |
13 | 1157 |
89 | 89 |
1 |
Prime factors of 9256 are 2,13,89. Prime factorization of 9256 in exponential form is:
9256 = 23×131×891
Prime Factorization of 9264
2 | 9264 |
2 | 4632 |
2 | 2316 |
2 | 1158 |
3 | 579 |
193 | 193 |
1 |
Prime factors of 9264 are 2,3,193. Prime factorization of 9264 in exponential form is:
9264 = 24×31×1931
∴ So by taking common prime factors GCF of 9256 and 9264 is 8
Factors of 9256
List of positive integer factors of 9256 that divides 9256 without a remainder.
1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256
Factors of 9264
List of positive integer factors of 9264 that divides 9264 without a remainder.
1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264
Greatest Common Factor
We found the factors and prime factorization of 9256 and 9264. The biggest common factor number is the GCF number.
So the greatest common factor 9256 and 9264 is 8.
Also check out the Least Common Multiple of 9256 and 9264
(i) The GCF of 9256 and 9264 is associative
GCF of 9256 and 9264 = GCF of 9264 and 9256
1. What is the GCF of 9256 and 9264?
Answer: GCF of 9256 and 9264 is 8.
2. What are the Factors of 9256?
Answer: Factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256. There are 16 integers that are factors of 9256. The greatest factor of 9256 is 9256.
3. What are the Factors of 9264?
Answer: Factors of 9264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264. There are 20 integers that are factors of 9264. The greatest factor of 9264 is 9264.
4. How to Find the GCF of 9256 and 9264?
Answer:
Greatest Common Factor of 9256 and 9264 = 8
Step 1: Find the prime factorization of 9256
9256 = 2 x 2 x 2 x 13 x 89
Step 2: Find the prime factorization of 9264
9264 = 2 x 2 x 2 x 2 x 3 x 193
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 9256 and 9264 is 8