Greatest Common Factor of 253 and 258

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 253, 258 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 253 and 258 is 1.

GCF(253,258) = 1

GCF of 253 and 258

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

GCF of:
and

Greatest Common Factor of 253 and 258

GCF of 253 and 258 is 1

Prime Factorization of 253


11 253
23 23
1

Prime factors of 253 are 11,23. Prime factorization of 253 in exponential form is:

253 = 111×231

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

∴ So by taking common prime factors GCF of 253 and 258 is 1

Greatest Common Factor of 253 and 258 by matching factors method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 258

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

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

Greatest Common Factor

We found the factors and prime factorization of 253 and 258. The biggest common factor number is the GCF number.
So the greatest common factor 253 and 258 is 1.

Also check out the Least Common Multiple of 253 and 258

Properties of GCF 253 and 258

(i) The GCF of 253 and 258 is associative

GCF of 253 and 258 = GCF of 258 and 253

Related Greatest Common Factor of 253

Related Greatest Common Factor of 258

Frequently Asked Questions on GCF of 253 and 258

1. What is the GCF of 253 and 258?

Answer: GCF of 253 and 258 is 1.

2. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

3. 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.

4. How to Find the GCF of 253 and 258?

Answer:

Greatest Common Factor of 253 and 258 = 1

Step 1: Find the prime factorization of 253

253 = 11 x 23

Step 2: Find the prime factorization of 258

258 = 2 x 3 x 43

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 253 and 258 is 1