Greatest Common Factor of 2355 and 2359

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 2355, 2359 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2355 and 2359 is 1.

GCF(2355,2359) = 1

GCF of 2355 and 2359

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

GCF of:
and

Greatest Common Factor of 2355 and 2359

GCF of 2355 and 2359 is 1

Prime Factorization of 2355


3 2355
5 785
157 157
1

Prime factors of 2355 are 3,5,157. Prime factorization of 2355 in exponential form is:

2355 = 31×51×1571

Prime Factorization of 2359


7 2359
337 337
1

Prime factors of 2359 are 7,337. Prime factorization of 2359 in exponential form is:

2359 = 71×3371

∴ So by taking common prime factors GCF of 2355 and 2359 is 1

Greatest Common Factor of 2355 and 2359 by matching factors method

Factors of 2355

List of positive integer factors of 2355 that divides 2355 without a remainder.

1,3,5,15,157,471,785,2355

Factors of 2359

List of positive integer factors of 2359 that divides 2359 without a remainder.

1,7,337,2359

Greatest Common Factor

We found the factors and prime factorization of 2355 and 2359. The biggest common factor number is the GCF number.
So the greatest common factor 2355 and 2359 is 1.

Also check out the Least Common Multiple of 2355 and 2359

Properties of GCF 2355 and 2359

(i) The GCF of 2355 and 2359 is associative

GCF of 2355 and 2359 = GCF of 2359 and 2355

Related Greatest Common Factor of 2355

Related Greatest Common Factor of 2359

Frequently Asked Questions on GCF of 2355 and 2359

1. What is the GCF of 2355 and 2359?

Answer: GCF of 2355 and 2359 is 1.

2. What are the Factors of 2355?

Answer: Factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355. There are 8 integers that are factors of 2355. The greatest factor of 2355 is 2355.

3. What are the Factors of 2359?

Answer: Factors of 2359 are 1, 7, 337, 2359. There are 4 integers that are factors of 2359. The greatest factor of 2359 is 2359.

4. How to Find the GCF of 2355 and 2359?

Answer:

Greatest Common Factor of 2355 and 2359 = 1

Step 1: Find the prime factorization of 2355

2355 = 3 x 5 x 157

Step 2: Find the prime factorization of 2359

2359 = 7 x 337

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 2355 and 2359 is 1