Greatest Common Factor of 2365 and 2370

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 2365, 2370 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2365 and 2370 is 5.

GCF(2365,2370) = 5

GCF of 2365 and 2370

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

GCF of:
and

Greatest Common Factor of 2365 and 2370

GCF of 2365 and 2370 is 5

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

Prime Factorization of 2370


2 2370
3 1185
5 395
79 79
1

Prime factors of 2370 are 2,3,5,79. Prime factorization of 2370 in exponential form is:

2370 = 21×31×51×791

∴ So by taking common prime factors GCF of 2365 and 2370 is 5

Greatest Common Factor of 2365 and 2370 by matching factors method

Factors of 2365

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

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

Factors of 2370

List of positive integer factors of 2370 that divides 2370 without a remainder.

1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370

Greatest Common Factor

We found the factors and prime factorization of 2365 and 2370. The biggest common factor number is the GCF number.
So the greatest common factor 2365 and 2370 is 5.

Also check out the Least Common Multiple of 2365 and 2370

Properties of GCF 2365 and 2370

(i) The GCF of 2365 and 2370 is associative

GCF of 2365 and 2370 = GCF of 2370 and 2365

Related Greatest Common Factor of 2365

Related Greatest Common Factor of 2370

Frequently Asked Questions on GCF of 2365 and 2370

1. What is the GCF of 2365 and 2370?

Answer: GCF of 2365 and 2370 is 5.

2. 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.

3. What are the Factors of 2370?

Answer: Factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370. There are 16 integers that are factors of 2370. The greatest factor of 2370 is 2370.

4. How to Find the GCF of 2365 and 2370?

Answer:

Greatest Common Factor of 2365 and 2370 = 5

Step 1: Find the prime factorization of 2365

2365 = 5 x 11 x 43

Step 2: Find the prime factorization of 2370

2370 = 2 x 3 x 5 x 79

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 2365 and 2370 is 5