Greatest Common Factor of 25317 and 25323

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 25317, 25323 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25317 and 25323 is 3.

GCF(25317,25323) = 3

GCF of 25317 and 25323

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

GCF of:
and

Greatest Common Factor of 25317 and 25323

GCF of 25317 and 25323 is 3

Prime Factorization of 25317


3 25317
3 8439
29 2813
97 97
1

Prime factors of 25317 are 3,29,97. Prime factorization of 25317 in exponential form is:

25317 = 32×291×971

Prime Factorization of 25323


3 25323
23 8441
367 367
1

Prime factors of 25323 are 3,23,367. Prime factorization of 25323 in exponential form is:

25323 = 31×231×3671

∴ So by taking common prime factors GCF of 25317 and 25323 is 3

Greatest Common Factor of 25317 and 25323 by matching factors method

Factors of 25317

List of positive integer factors of 25317 that divides 25317 without a remainder.

1,3,9,29,87,97,261,291,873,2813,8439,25317

Factors of 25323

List of positive integer factors of 25323 that divides 25323 without a remainder.

1,3,23,69,367,1101,8441,25323

Greatest Common Factor

We found the factors and prime factorization of 25317 and 25323. The biggest common factor number is the GCF number.
So the greatest common factor 25317 and 25323 is 3.

Also check out the Least Common Multiple of 25317 and 25323

Properties of GCF 25317 and 25323

(i) The GCF of 25317 and 25323 is associative

GCF of 25317 and 25323 = GCF of 25323 and 25317

Related Greatest Common Factor of 25317

Related Greatest Common Factor of 25323

Frequently Asked Questions on GCF of 25317 and 25323

1. What is the GCF of 25317 and 25323?

Answer: GCF of 25317 and 25323 is 3.

2. What are the Factors of 25317?

Answer: Factors of 25317 are 1, 3, 9, 29, 87, 97, 261, 291, 873, 2813, 8439, 25317. There are 12 integers that are factors of 25317. The greatest factor of 25317 is 25317.

3. What are the Factors of 25323?

Answer: Factors of 25323 are 1, 3, 23, 69, 367, 1101, 8441, 25323. There are 8 integers that are factors of 25323. The greatest factor of 25323 is 25323.

4. How to Find the GCF of 25317 and 25323?

Answer:

Greatest Common Factor of 25317 and 25323 = 3

Step 1: Find the prime factorization of 25317

25317 = 3 x 3 x 29 x 97

Step 2: Find the prime factorization of 25323

25323 = 3 x 23 x 367

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

GCF = 3

Step 4: Therefore, the greatest common factor of 25317 and 25323 is 3