Greatest Common Factor of 2325 and 2330

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 2325, 2330 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2325 and 2330 is 5.

GCF(2325,2330) = 5

GCF of 2325 and 2330

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

GCF of:
and

Greatest Common Factor of 2325 and 2330

GCF of 2325 and 2330 is 5

Prime Factorization of 2325


3 2325
5 775
5 155
31 31
1

Prime factors of 2325 are 3,5,31. Prime factorization of 2325 in exponential form is:

2325 = 31×52×311

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

∴ So by taking common prime factors GCF of 2325 and 2330 is 5

Greatest Common Factor of 2325 and 2330 by matching factors method

Factors of 2325

List of positive integer factors of 2325 that divides 2325 without a remainder.

1,3,5,15,25,31,75,93,155,465,775,2325

Factors of 2330

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

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

Greatest Common Factor

We found the factors and prime factorization of 2325 and 2330. The biggest common factor number is the GCF number.
So the greatest common factor 2325 and 2330 is 5.

Also check out the Least Common Multiple of 2325 and 2330

Properties of GCF 2325 and 2330

(i) The GCF of 2325 and 2330 is associative

GCF of 2325 and 2330 = GCF of 2330 and 2325

Related Greatest Common Factor of 2325

Related Greatest Common Factor of 2330

Frequently Asked Questions on GCF of 2325 and 2330

1. What is the GCF of 2325 and 2330?

Answer: GCF of 2325 and 2330 is 5.

2. What are the Factors of 2325?

Answer: Factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325. There are 12 integers that are factors of 2325. The greatest factor of 2325 is 2325.

3. 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.

4. How to Find the GCF of 2325 and 2330?

Answer:

Greatest Common Factor of 2325 and 2330 = 5

Step 1: Find the prime factorization of 2325

2325 = 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 2330

2330 = 2 x 5 x 233

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 2325 and 2330 is 5