Greatest Common Factor of 2317 and 2325

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 2317, 2325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2317 and 2325 is 1.

GCF(2317,2325) = 1

GCF of 2317 and 2325

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

GCF of:
and

Greatest Common Factor of 2317 and 2325

GCF of 2317 and 2325 is 1

Prime Factorization of 2317


7 2317
331 331
1

Prime factors of 2317 are 7,331. Prime factorization of 2317 in exponential form is:

2317 = 71×3311

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

∴ So by taking common prime factors GCF of 2317 and 2325 is 1

Greatest Common Factor of 2317 and 2325 by matching factors method

Factors of 2317

List of positive integer factors of 2317 that divides 2317 without a remainder.

1,7,331,2317

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

Greatest Common Factor

We found the factors and prime factorization of 2317 and 2325. The biggest common factor number is the GCF number.
So the greatest common factor 2317 and 2325 is 1.

Also check out the Least Common Multiple of 2317 and 2325

Properties of GCF 2317 and 2325

(i) The GCF of 2317 and 2325 is associative

GCF of 2317 and 2325 = GCF of 2325 and 2317

Related Greatest Common Factor of 2317

Related Greatest Common Factor of 2325

Frequently Asked Questions on GCF of 2317 and 2325

1. What is the GCF of 2317 and 2325?

Answer: GCF of 2317 and 2325 is 1.

2. What are the Factors of 2317?

Answer: Factors of 2317 are 1, 7, 331, 2317. There are 4 integers that are factors of 2317. The greatest factor of 2317 is 2317.

3. 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.

4. How to Find the GCF of 2317 and 2325?

Answer:

Greatest Common Factor of 2317 and 2325 = 1

Step 1: Find the prime factorization of 2317

2317 = 7 x 331

Step 2: Find the prime factorization of 2325

2325 = 3 x 5 x 5 x 31

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 2317 and 2325 is 1