Greatest Common Factor of 2331 and 2334

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 2331, 2334 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2331 and 2334 is 3.

GCF(2331,2334) = 3

GCF of 2331 and 2334

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

GCF of:
and

Greatest Common Factor of 2331 and 2334

GCF of 2331 and 2334 is 3

Prime Factorization of 2331


3 2331
3 777
7 259
37 37
1

Prime factors of 2331 are 3,7,37. Prime factorization of 2331 in exponential form is:

2331 = 32×71×371

Prime Factorization of 2334


2 2334
3 1167
389 389
1

Prime factors of 2334 are 2,3,389. Prime factorization of 2334 in exponential form is:

2334 = 21×31×3891

∴ So by taking common prime factors GCF of 2331 and 2334 is 3

Greatest Common Factor of 2331 and 2334 by matching factors method

Factors of 2331

List of positive integer factors of 2331 that divides 2331 without a remainder.

1,3,7,9,21,37,63,111,259,333,777,2331

Factors of 2334

List of positive integer factors of 2334 that divides 2334 without a remainder.

1,2,3,6,389,778,1167,2334

Greatest Common Factor

We found the factors and prime factorization of 2331 and 2334. The biggest common factor number is the GCF number.
So the greatest common factor 2331 and 2334 is 3.

Also check out the Least Common Multiple of 2331 and 2334

Properties of GCF 2331 and 2334

(i) The GCF of 2331 and 2334 is associative

GCF of 2331 and 2334 = GCF of 2334 and 2331

Related Greatest Common Factor of 2331

Related Greatest Common Factor of 2334

Frequently Asked Questions on GCF of 2331 and 2334

1. What is the GCF of 2331 and 2334?

Answer: GCF of 2331 and 2334 is 3.

2. What are the Factors of 2331?

Answer: Factors of 2331 are 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331. There are 12 integers that are factors of 2331. The greatest factor of 2331 is 2331.

3. What are the Factors of 2334?

Answer: Factors of 2334 are 1, 2, 3, 6, 389, 778, 1167, 2334. There are 8 integers that are factors of 2334. The greatest factor of 2334 is 2334.

4. How to Find the GCF of 2331 and 2334?

Answer:

Greatest Common Factor of 2331 and 2334 = 3

Step 1: Find the prime factorization of 2331

2331 = 3 x 3 x 7 x 37

Step 2: Find the prime factorization of 2334

2334 = 2 x 3 x 389

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 2331 and 2334 is 3