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, 9260 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9256 and 9260 is 4.
GCF(9256,9260) = 4
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 9260
2 | 9260 |
2 | 4630 |
5 | 2315 |
463 | 463 |
1 |
Prime factors of 9260 are 2,5,463. Prime factorization of 9260 in exponential form is:
9260 = 22×51×4631
∴ So by taking common prime factors GCF of 9256 and 9260 is 4
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 9260
List of positive integer factors of 9260 that divides 9260 without a remainder.
1,2,4,5,10,20,463,926,1852,2315,4630,9260
Greatest Common Factor
We found the factors and prime factorization of 9256 and 9260. The biggest common factor number is the GCF number.
So the greatest common factor 9256 and 9260 is 4.
Also check out the Least Common Multiple of 9256 and 9260
(i) The GCF of 9256 and 9260 is associative
GCF of 9256 and 9260 = GCF of 9260 and 9256
1. What is the GCF of 9256 and 9260?
Answer: GCF of 9256 and 9260 is 4.
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 9260?
Answer: Factors of 9260 are 1, 2, 4, 5, 10, 20, 463, 926, 1852, 2315, 4630, 9260. There are 12 integers that are factors of 9260. The greatest factor of 9260 is 9260.
4. How to Find the GCF of 9256 and 9260?
Answer:
Greatest Common Factor of 9256 and 9260 = 4
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 9260
9260 = 2 x 2 x 5 x 463
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 9256 and 9260 is 4