Greatest Common Factor of 2359 and 2366

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 2359, 2366 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2359 and 2366 is 7.

GCF(2359,2366) = 7

GCF of 2359 and 2366

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

GCF of:
and

Greatest Common Factor of 2359 and 2366

GCF of 2359 and 2366 is 7

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

Prime Factorization of 2366


2 2366
7 1183
13 169
13 13
1

Prime factors of 2366 are 2,7,13. Prime factorization of 2366 in exponential form is:

2366 = 21×71×132

∴ So by taking common prime factors GCF of 2359 and 2366 is 7

Greatest Common Factor of 2359 and 2366 by matching factors method

Factors of 2359

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

1,7,337,2359

Factors of 2366

List of positive integer factors of 2366 that divides 2366 without a remainder.

1,2,7,13,14,26,91,169,182,338,1183,2366

Greatest Common Factor

We found the factors and prime factorization of 2359 and 2366. The biggest common factor number is the GCF number.
So the greatest common factor 2359 and 2366 is 7.

Also check out the Least Common Multiple of 2359 and 2366

Properties of GCF 2359 and 2366

(i) The GCF of 2359 and 2366 is associative

GCF of 2359 and 2366 = GCF of 2366 and 2359

Related Greatest Common Factor of 2359

Related Greatest Common Factor of 2366

Frequently Asked Questions on GCF of 2359 and 2366

1. What is the GCF of 2359 and 2366?

Answer: GCF of 2359 and 2366 is 7.

2. 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.

3. What are the Factors of 2366?

Answer: Factors of 2366 are 1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366. There are 12 integers that are factors of 2366. The greatest factor of 2366 is 2366.

4. How to Find the GCF of 2359 and 2366?

Answer:

Greatest Common Factor of 2359 and 2366 = 7

Step 1: Find the prime factorization of 2359

2359 = 7 x 337

Step 2: Find the prime factorization of 2366

2366 = 2 x 7 x 13 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 2359 and 2366 is 7