Greatest Common Factor of 2385 and 2391

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 2385, 2391 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2385 and 2391 is 3.

GCF(2385,2391) = 3

GCF of 2385 and 2391

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

GCF of:
and

Greatest Common Factor of 2385 and 2391

GCF of 2385 and 2391 is 3

Prime Factorization of 2385


3 2385
3 795
5 265
53 53
1

Prime factors of 2385 are 3,5,53. Prime factorization of 2385 in exponential form is:

2385 = 32×51×531

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

∴ So by taking common prime factors GCF of 2385 and 2391 is 3

Greatest Common Factor of 2385 and 2391 by matching factors method

Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1,3,5,9,15,45,53,159,265,477,795,2385

Factors of 2391

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

1,3,797,2391

Greatest Common Factor

We found the factors and prime factorization of 2385 and 2391. The biggest common factor number is the GCF number.
So the greatest common factor 2385 and 2391 is 3.

Also check out the Least Common Multiple of 2385 and 2391

Properties of GCF 2385 and 2391

(i) The GCF of 2385 and 2391 is associative

GCF of 2385 and 2391 = GCF of 2391 and 2385

Related Greatest Common Factor of 2385

Related Greatest Common Factor of 2391

Frequently Asked Questions on GCF of 2385 and 2391

1. What is the GCF of 2385 and 2391?

Answer: GCF of 2385 and 2391 is 3.

2. What are the Factors of 2385?

Answer: Factors of 2385 are 1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385. There are 12 integers that are factors of 2385. The greatest factor of 2385 is 2385.

3. 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.

4. How to Find the GCF of 2385 and 2391?

Answer:

Greatest Common Factor of 2385 and 2391 = 3

Step 1: Find the prime factorization of 2385

2385 = 3 x 3 x 5 x 53

Step 2: Find the prime factorization of 2391

2391 = 3 x 797

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 2385 and 2391 is 3