Greatest Common Factor of 2390 and 2398

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 2390, 2398 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2390 and 2398 is 2.

GCF(2390,2398) = 2

GCF of 2390 and 2398

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

GCF of:
and

Greatest Common Factor of 2390 and 2398

GCF of 2390 and 2398 is 2

Prime Factorization of 2390


2 2390
5 1195
239 239
1

Prime factors of 2390 are 2,5,239. Prime factorization of 2390 in exponential form is:

2390 = 21×51×2391

Prime Factorization of 2398


2 2398
11 1199
109 109
1

Prime factors of 2398 are 2,11,109. Prime factorization of 2398 in exponential form is:

2398 = 21×111×1091

∴ So by taking common prime factors GCF of 2390 and 2398 is 2

Greatest Common Factor of 2390 and 2398 by matching factors method

Factors of 2390

List of positive integer factors of 2390 that divides 2390 without a remainder.

1,2,5,10,239,478,1195,2390

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1,2,11,22,109,218,1199,2398

Greatest Common Factor

We found the factors and prime factorization of 2390 and 2398. The biggest common factor number is the GCF number.
So the greatest common factor 2390 and 2398 is 2.

Also check out the Least Common Multiple of 2390 and 2398

Properties of GCF 2390 and 2398

(i) The GCF of 2390 and 2398 is associative

GCF of 2390 and 2398 = GCF of 2398 and 2390

Related Greatest Common Factor of 2390

Related Greatest Common Factor of 2398

Frequently Asked Questions on GCF of 2390 and 2398

1. What is the GCF of 2390 and 2398?

Answer: GCF of 2390 and 2398 is 2.

2. What are the Factors of 2390?

Answer: Factors of 2390 are 1, 2, 5, 10, 239, 478, 1195, 2390. There are 8 integers that are factors of 2390. The greatest factor of 2390 is 2390.

3. What are the Factors of 2398?

Answer: Factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398. There are 8 integers that are factors of 2398. The greatest factor of 2398 is 2398.

4. How to Find the GCF of 2390 and 2398?

Answer:

Greatest Common Factor of 2390 and 2398 = 2

Step 1: Find the prime factorization of 2390

2390 = 2 x 5 x 239

Step 2: Find the prime factorization of 2398

2398 = 2 x 11 x 109

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 2390 and 2398 is 2