Greatest Common Factor of 258 and 262

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

Greatest common factor (GCF) of 258 and 262 is 2.

GCF(258,262) = 2

GCF of 258 and 262

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

GCF of:
and

Greatest Common Factor of 258 and 262

GCF of 258 and 262 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 262


2 262
131 131
1

Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:

262 = 21×1311

∴ So by taking common prime factors GCF of 258 and 262 is 2

Greatest Common Factor of 258 and 262 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 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors and prime factorization of 258 and 262. The biggest common factor number is the GCF number.
So the greatest common factor 258 and 262 is 2.

Also check out the Least Common Multiple of 258 and 262

Properties of GCF 258 and 262

(i) The GCF of 258 and 262 is associative

GCF of 258 and 262 = GCF of 262 and 258

Related Greatest Common Factor of 258

Related Greatest Common Factor of 262

Frequently Asked Questions on GCF of 258 and 262

1. What is the GCF of 258 and 262?

Answer: GCF of 258 and 262 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 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

4. How to Find the GCF of 258 and 262?

Answer:

Greatest Common Factor of 258 and 262 = 2

Step 1: Find the prime factorization of 258

258 = 2 x 3 x 43

Step 2: Find the prime factorization of 262

262 = 2 x 131

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 262 is 2