Greatest Common Factor of 260 and 265

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 260, 265 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 260 and 265 is 5.

GCF(260,265) = 5

GCF of 260 and 265

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

GCF of:
and

Greatest Common Factor of 260 and 265

GCF of 260 and 265 is 5

Prime Factorization of 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2,5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

Prime Factorization of 265


5 265
53 53
1

Prime factors of 265 are 5,53. Prime factorization of 265 in exponential form is:

265 = 51×531

∴ So by taking common prime factors GCF of 260 and 265 is 5

Greatest Common Factor of 260 and 265 by matching factors method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors and prime factorization of 260 and 265. The biggest common factor number is the GCF number.
So the greatest common factor 260 and 265 is 5.

Also check out the Least Common Multiple of 260 and 265

Properties of GCF 260 and 265

(i) The GCF of 260 and 265 is associative

GCF of 260 and 265 = GCF of 265 and 260

Related Greatest Common Factor of 260

Related Greatest Common Factor of 265

Frequently Asked Questions on GCF of 260 and 265

1. What is the GCF of 260 and 265?

Answer: GCF of 260 and 265 is 5.

2. What are the Factors of 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

3. What are the Factors of 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

4. How to Find the GCF of 260 and 265?

Answer:

Greatest Common Factor of 260 and 265 = 5

Step 1: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 265

265 = 5 x 53

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 260 and 265 is 5