Greatest Common Factor of 2360 and 2365

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 2360, 2365 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2360 and 2365 is 5.

GCF(2360,2365) = 5

GCF of 2360 and 2365

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

GCF of:
and

Greatest Common Factor of 2360 and 2365

GCF of 2360 and 2365 is 5

Prime Factorization of 2360


2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 2360 are 2,5,59. Prime factorization of 2360 in exponential form is:

2360 = 23×51×591

Prime Factorization of 2365


5 2365
11 473
43 43
1

Prime factors of 2365 are 5,11,43. Prime factorization of 2365 in exponential form is:

2365 = 51×111×431

∴ So by taking common prime factors GCF of 2360 and 2365 is 5

Greatest Common Factor of 2360 and 2365 by matching factors method

Factors of 2360

List of positive integer factors of 2360 that divides 2360 without a remainder.

1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360

Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1,5,11,43,55,215,473,2365

Greatest Common Factor

We found the factors and prime factorization of 2360 and 2365. The biggest common factor number is the GCF number.
So the greatest common factor 2360 and 2365 is 5.

Also check out the Least Common Multiple of 2360 and 2365

Properties of GCF 2360 and 2365

(i) The GCF of 2360 and 2365 is associative

GCF of 2360 and 2365 = GCF of 2365 and 2360

Related Greatest Common Factor of 2360

Related Greatest Common Factor of 2365

Frequently Asked Questions on GCF of 2360 and 2365

1. What is the GCF of 2360 and 2365?

Answer: GCF of 2360 and 2365 is 5.

2. What are the Factors of 2360?

Answer: Factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360. There are 16 integers that are factors of 2360. The greatest factor of 2360 is 2360.

3. What are the Factors of 2365?

Answer: Factors of 2365 are 1, 5, 11, 43, 55, 215, 473, 2365. There are 8 integers that are factors of 2365. The greatest factor of 2365 is 2365.

4. How to Find the GCF of 2360 and 2365?

Answer:

Greatest Common Factor of 2360 and 2365 = 5

Step 1: Find the prime factorization of 2360

2360 = 2 x 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 2365

2365 = 5 x 11 x 43

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2360 and 2365 is 5