Greatest Common Factor of 258 and 260

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 258, 260 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 258 and 260 is 2.

GCF(258,260) = 2

GCF of 258 and 260

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

GCF of:
and

Greatest Common Factor of 258 and 260

GCF of 258 and 260 is 2

Prime Factorization of 258


2 258
3 129
43 43
1

Prime factors of 258 are 2,3,43. Prime factorization of 258 in exponential form is:

258 = 21×31×431

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

∴ So by taking common prime factors GCF of 258 and 260 is 2

Greatest Common Factor of 258 and 260 by matching factors method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

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

Greatest Common Factor

We found the factors and prime factorization of 258 and 260. The biggest common factor number is the GCF number.
So the greatest common factor 258 and 260 is 2.

Also check out the Least Common Multiple of 258 and 260

Properties of GCF 258 and 260

(i) The GCF of 258 and 260 is associative

GCF of 258 and 260 = GCF of 260 and 258

Related Greatest Common Factor of 258

Related Greatest Common Factor of 260

Frequently Asked Questions on GCF of 258 and 260

1. What is the GCF of 258 and 260?

Answer: GCF of 258 and 260 is 2.

2. What are the Factors of 258?

Answer: Factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258. There are 8 integers that are factors of 258. The greatest factor of 258 is 258.

3. 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.

4. How to Find the GCF of 258 and 260?

Answer:

Greatest Common Factor of 258 and 260 = 2

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

Step 2: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

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

GCF = 2

Step 4: Therefore, the greatest common factor of 258 and 260 is 2