Greatest Common Factor of 2391 and 2397

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 2391, 2397 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2391 and 2397 is 3.

GCF(2391,2397) = 3

GCF of 2391 and 2397

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

GCF of:
and

Greatest Common Factor of 2391 and 2397

GCF of 2391 and 2397 is 3

Prime Factorization of 2391


3 2391
797 797
1

Prime factors of 2391 are 3,797. Prime factorization of 2391 in exponential form is:

2391 = 31×7971

Prime Factorization of 2397


3 2397
17 799
47 47
1

Prime factors of 2397 are 3,17,47. Prime factorization of 2397 in exponential form is:

2397 = 31×171×471

∴ So by taking common prime factors GCF of 2391 and 2397 is 3

Greatest Common Factor of 2391 and 2397 by matching factors method

Factors of 2391

List of positive integer factors of 2391 that divides 2391 without a remainder.

1,3,797,2391

Factors of 2397

List of positive integer factors of 2397 that divides 2397 without a remainder.

1,3,17,47,51,141,799,2397

Greatest Common Factor

We found the factors and prime factorization of 2391 and 2397. The biggest common factor number is the GCF number.
So the greatest common factor 2391 and 2397 is 3.

Also check out the Least Common Multiple of 2391 and 2397

Properties of GCF 2391 and 2397

(i) The GCF of 2391 and 2397 is associative

GCF of 2391 and 2397 = GCF of 2397 and 2391

Related Greatest Common Factor of 2391

Related Greatest Common Factor of 2397

Frequently Asked Questions on GCF of 2391 and 2397

1. What is the GCF of 2391 and 2397?

Answer: GCF of 2391 and 2397 is 3.

2. What are the Factors of 2391?

Answer: Factors of 2391 are 1, 3, 797, 2391. There are 4 integers that are factors of 2391. The greatest factor of 2391 is 2391.

3. What are the Factors of 2397?

Answer: Factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397. There are 8 integers that are factors of 2397. The greatest factor of 2397 is 2397.

4. How to Find the GCF of 2391 and 2397?

Answer:

Greatest Common Factor of 2391 and 2397 = 3

Step 1: Find the prime factorization of 2391

2391 = 3 x 797

Step 2: Find the prime factorization of 2397

2397 = 3 x 17 x 47

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 2391 and 2397 is 3