Greatest Common Factor of 25317 and 25321

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, 25321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25317 and 25321 is 1.

GCF(25317,25321) = 1

GCF of 25317 and 25321

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

GCF of:
and

Greatest Common Factor of 25317 and 25321

GCF of 25317 and 25321 is 1

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 25321


25321 25321
1

Prime factors of 25321 are 25321. Prime factorization of 25321 in exponential form is:

25321 = 253211

∴ So by taking common prime factors GCF of 25317 and 25321 is 1

Greatest Common Factor of 25317 and 25321 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 25321

List of positive integer factors of 25321 that divides 25321 without a remainder.

1,25321

Greatest Common Factor

We found the factors and prime factorization of 25317 and 25321. The biggest common factor number is the GCF number.
So the greatest common factor 25317 and 25321 is 1.

Also check out the Least Common Multiple of 25317 and 25321

Properties of GCF 25317 and 25321

(i) The GCF of 25317 and 25321 is associative

GCF of 25317 and 25321 = GCF of 25321 and 25317

Related Greatest Common Factor of 25317

Related Greatest Common Factor of 25321

Frequently Asked Questions on GCF of 25317 and 25321

1. What is the GCF of 25317 and 25321?

Answer: GCF of 25317 and 25321 is 1.

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 25321?

Answer: Factors of 25321 are 1, 25321. There are 2 integers that are factors of 25321. The greatest factor of 25321 is 25321.

4. How to Find the GCF of 25317 and 25321?

Answer:

Greatest Common Factor of 25317 and 25321 = 1

Step 1: Find the prime factorization of 25317

25317 = 3 x 3 x 29 x 97

Step 2: Find the prime factorization of 25321

25321 = 25321

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 25317 and 25321 is 1