Greatest Common Factor of 258 and 261

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, 261 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 258 and 261 is 3.

GCF(258,261) = 3

GCF of 258 and 261

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

GCF of:
and

Greatest Common Factor of 258 and 261

GCF of 258 and 261 is 3

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 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

∴ So by taking common prime factors GCF of 258 and 261 is 3

Greatest Common Factor of 258 and 261 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 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors and prime factorization of 258 and 261. The biggest common factor number is the GCF number.
So the greatest common factor 258 and 261 is 3.

Also check out the Least Common Multiple of 258 and 261

Properties of GCF 258 and 261

(i) The GCF of 258 and 261 is associative

GCF of 258 and 261 = GCF of 261 and 258

Related Greatest Common Factor of 258

Related Greatest Common Factor of 261

Frequently Asked Questions on GCF of 258 and 261

1. What is the GCF of 258 and 261?

Answer: GCF of 258 and 261 is 3.

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 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

4. How to Find the GCF of 258 and 261?

Answer:

Greatest Common Factor of 258 and 261 = 3

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

Step 2: Find the prime factorization of 261

261 = 3 x 3 x 29

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

GCF = 3

Step 4: Therefore, the greatest common factor of 258 and 261 is 3