Greatest Common Factor of 2364 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 2364, 2366 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2364 and 2366 is 2.

GCF(2364,2366) = 2

GCF of 2364 and 2366

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

GCF of:
and

Greatest Common Factor of 2364 and 2366

GCF of 2364 and 2366 is 2

Prime Factorization of 2364


2 2364
2 1182
3 591
197 197
1

Prime factors of 2364 are 2,3,197. Prime factorization of 2364 in exponential form is:

2364 = 22×31×1971

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 2364 and 2366 is 2

Greatest Common Factor of 2364 and 2366 by matching factors method

Factors of 2364

List of positive integer factors of 2364 that divides 2364 without a remainder.

1,2,3,4,6,12,197,394,591,788,1182,2364

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 2364 and 2366. The biggest common factor number is the GCF number.
So the greatest common factor 2364 and 2366 is 2.

Also check out the Least Common Multiple of 2364 and 2366

Properties of GCF 2364 and 2366

(i) The GCF of 2364 and 2366 is associative

GCF of 2364 and 2366 = GCF of 2366 and 2364

Related Greatest Common Factor of 2364

Related Greatest Common Factor of 2366

Frequently Asked Questions on GCF of 2364 and 2366

1. What is the GCF of 2364 and 2366?

Answer: GCF of 2364 and 2366 is 2.

2. What are the Factors of 2364?

Answer: Factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364. There are 12 integers that are factors of 2364. The greatest factor of 2364 is 2364.

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 2364 and 2366?

Answer:

Greatest Common Factor of 2364 and 2366 = 2

Step 1: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

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 = 2

Step 4: Therefore, the greatest common factor of 2364 and 2366 is 2