Greatest Common Factor of 2349 and 2357

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 2349, 2357 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2349 and 2357 is 1.

GCF(2349,2357) = 1

GCF of 2349 and 2357

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

GCF of:
and

Greatest Common Factor of 2349 and 2357

GCF of 2349 and 2357 is 1

Prime Factorization of 2349


3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 2349 are 3,29. Prime factorization of 2349 in exponential form is:

2349 = 34×291

Prime Factorization of 2357


2357 2357
1

Prime factors of 2357 are 2357. Prime factorization of 2357 in exponential form is:

2357 = 23571

∴ So by taking common prime factors GCF of 2349 and 2357 is 1

Greatest Common Factor of 2349 and 2357 by matching factors method

Factors of 2349

List of positive integer factors of 2349 that divides 2349 without a remainder.

1,3,9,27,29,81,87,261,783,2349

Factors of 2357

List of positive integer factors of 2357 that divides 2357 without a remainder.

1,2357

Greatest Common Factor

We found the factors and prime factorization of 2349 and 2357. The biggest common factor number is the GCF number.
So the greatest common factor 2349 and 2357 is 1.

Also check out the Least Common Multiple of 2349 and 2357

Properties of GCF 2349 and 2357

(i) The GCF of 2349 and 2357 is associative

GCF of 2349 and 2357 = GCF of 2357 and 2349

Related Greatest Common Factor of 2349

Related Greatest Common Factor of 2357

Frequently Asked Questions on GCF of 2349 and 2357

1. What is the GCF of 2349 and 2357?

Answer: GCF of 2349 and 2357 is 1.

2. What are the Factors of 2349?

Answer: Factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349. There are 10 integers that are factors of 2349. The greatest factor of 2349 is 2349.

3. What are the Factors of 2357?

Answer: Factors of 2357 are 1, 2357. There are 2 integers that are factors of 2357. The greatest factor of 2357 is 2357.

4. How to Find the GCF of 2349 and 2357?

Answer:

Greatest Common Factor of 2349 and 2357 = 1

Step 1: Find the prime factorization of 2349

2349 = 3 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 2357

2357 = 2357

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 2349 and 2357 is 1