Greatest Common Factor of 9260 and 9265

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 9260, 9265 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9260 and 9265 is 5.

GCF(9260,9265) = 5

GCF of 9260 and 9265

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

GCF of:
and

Greatest Common Factor of 9260 and 9265

GCF of 9260 and 9265 is 5

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

Prime Factorization of 9265


5 9265
17 1853
109 109
1

Prime factors of 9265 are 5,17,109. Prime factorization of 9265 in exponential form is:

9265 = 51×171×1091

∴ So by taking common prime factors GCF of 9260 and 9265 is 5

Greatest Common Factor of 9260 and 9265 by matching factors method

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

Factors of 9265

List of positive integer factors of 9265 that divides 9265 without a remainder.

1,5,17,85,109,545,1853,9265

Greatest Common Factor

We found the factors and prime factorization of 9260 and 9265. The biggest common factor number is the GCF number.
So the greatest common factor 9260 and 9265 is 5.

Also check out the Least Common Multiple of 9260 and 9265

Properties of GCF 9260 and 9265

(i) The GCF of 9260 and 9265 is associative

GCF of 9260 and 9265 = GCF of 9265 and 9260

Related Greatest Common Factor of 9260

Related Greatest Common Factor of 9265

Frequently Asked Questions on GCF of 9260 and 9265

1. What is the GCF of 9260 and 9265?

Answer: GCF of 9260 and 9265 is 5.

2. 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.

3. What are the Factors of 9265?

Answer: Factors of 9265 are 1, 5, 17, 85, 109, 545, 1853, 9265. There are 8 integers that are factors of 9265. The greatest factor of 9265 is 9265.

4. How to Find the GCF of 9260 and 9265?

Answer:

Greatest Common Factor of 9260 and 9265 = 5

Step 1: Find the prime factorization of 9260

9260 = 2 x 2 x 5 x 463

Step 2: Find the prime factorization of 9265

9265 = 5 x 17 x 109

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9260 and 9265 is 5