Greatest Common Factor of 2330 and 2337

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 2330, 2337 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2330 and 2337 is 1.

GCF(2330,2337) = 1

GCF of 2330 and 2337

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

GCF of:
and

Greatest Common Factor of 2330 and 2337

GCF of 2330 and 2337 is 1

Prime Factorization of 2330


2 2330
5 1165
233 233
1

Prime factors of 2330 are 2,5,233. Prime factorization of 2330 in exponential form is:

2330 = 21×51×2331

Prime Factorization of 2337


3 2337
19 779
41 41
1

Prime factors of 2337 are 3,19,41. Prime factorization of 2337 in exponential form is:

2337 = 31×191×411

∴ So by taking common prime factors GCF of 2330 and 2337 is 1

Greatest Common Factor of 2330 and 2337 by matching factors method

Factors of 2330

List of positive integer factors of 2330 that divides 2330 without a remainder.

1,2,5,10,233,466,1165,2330

Factors of 2337

List of positive integer factors of 2337 that divides 2337 without a remainder.

1,3,19,41,57,123,779,2337

Greatest Common Factor

We found the factors and prime factorization of 2330 and 2337. The biggest common factor number is the GCF number.
So the greatest common factor 2330 and 2337 is 1.

Also check out the Least Common Multiple of 2330 and 2337

Properties of GCF 2330 and 2337

(i) The GCF of 2330 and 2337 is associative

GCF of 2330 and 2337 = GCF of 2337 and 2330

Frequently Asked Questions on GCF of 2330 and 2337

1. What is the GCF of 2330 and 2337?

Answer: GCF of 2330 and 2337 is 1.

2. What are the Factors of 2330?

Answer: Factors of 2330 are 1, 2, 5, 10, 233, 466, 1165, 2330. There are 8 integers that are factors of 2330. The greatest factor of 2330 is 2330.

3. What are the Factors of 2337?

Answer: Factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337. There are 8 integers that are factors of 2337. The greatest factor of 2337 is 2337.

4. How to Find the GCF of 2330 and 2337?

Answer:

Greatest Common Factor of 2330 and 2337 = 1

Step 1: Find the prime factorization of 2330

2330 = 2 x 5 x 233

Step 2: Find the prime factorization of 2337

2337 = 3 x 19 x 41

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2330 and 2337 is 1