Greatest Common Factor of 2344 and 2349

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 2344, 2349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2344 and 2349 is 1.

GCF(2344,2349) = 1

GCF of 2344 and 2349

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

GCF of:
and

Greatest Common Factor of 2344 and 2349

GCF of 2344 and 2349 is 1

Prime Factorization of 2344


2 2344
2 1172
2 586
293 293
1

Prime factors of 2344 are 2,293. Prime factorization of 2344 in exponential form is:

2344 = 23×2931

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

∴ So by taking common prime factors GCF of 2344 and 2349 is 1

Greatest Common Factor of 2344 and 2349 by matching factors method

Factors of 2344

List of positive integer factors of 2344 that divides 2344 without a remainder.

1,2,4,8,293,586,1172,2344

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

Greatest Common Factor

We found the factors and prime factorization of 2344 and 2349. The biggest common factor number is the GCF number.
So the greatest common factor 2344 and 2349 is 1.

Also check out the Least Common Multiple of 2344 and 2349

Properties of GCF 2344 and 2349

(i) The GCF of 2344 and 2349 is associative

GCF of 2344 and 2349 = GCF of 2349 and 2344

Related Greatest Common Factor of 2344

Related Greatest Common Factor of 2349

Frequently Asked Questions on GCF of 2344 and 2349

1. What is the GCF of 2344 and 2349?

Answer: GCF of 2344 and 2349 is 1.

2. What are the Factors of 2344?

Answer: Factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344. There are 8 integers that are factors of 2344. The greatest factor of 2344 is 2344.

3. 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.

4. How to Find the GCF of 2344 and 2349?

Answer:

Greatest Common Factor of 2344 and 2349 = 1

Step 1: Find the prime factorization of 2344

2344 = 2 x 2 x 2 x 293

Step 2: Find the prime factorization of 2349

2349 = 3 x 3 x 3 x 3 x 29

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 2344 and 2349 is 1