Greatest Common Factor of 9256 and 9260

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

GCF of 9256 and 9260

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9256 and 9260

GCF of 9256 and 9260 is 4

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

Greatest Common Factor of 9256 and 9260 by matching factors method

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

Properties of GCF 9256 and 9260

(i) The GCF of 9256 and 9260 is associative

GCF of 9256 and 9260 = GCF of 9260 and 9256

Related Greatest Common Factor of 9256

Related Greatest Common Factor of 9260

Frequently Asked Questions on GCF of 9256 and 9260

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