Greatest Common Factor of 25310 and 25317

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 25310, 25317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25310 and 25317 is 1.

GCF(25310,25317) = 1

GCF of 25310 and 25317

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

GCF of:
and

Greatest Common Factor of 25310 and 25317

GCF of 25310 and 25317 is 1

Prime Factorization of 25310


2 25310
5 12655
2531 2531
1

Prime factors of 25310 are 2,5,2531. Prime factorization of 25310 in exponential form is:

25310 = 21×51×25311

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

∴ So by taking common prime factors GCF of 25310 and 25317 is 1

Greatest Common Factor of 25310 and 25317 by matching factors method

Factors of 25310

List of positive integer factors of 25310 that divides 25310 without a remainder.

1,2,5,10,2531,5062,12655,25310

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

Greatest Common Factor

We found the factors and prime factorization of 25310 and 25317. The biggest common factor number is the GCF number.
So the greatest common factor 25310 and 25317 is 1.

Also check out the Least Common Multiple of 25310 and 25317

Properties of GCF 25310 and 25317

(i) The GCF of 25310 and 25317 is associative

GCF of 25310 and 25317 = GCF of 25317 and 25310

Related Greatest Common Factor of 25310

Related Greatest Common Factor of 25317

Frequently Asked Questions on GCF of 25310 and 25317

1. What is the GCF of 25310 and 25317?

Answer: GCF of 25310 and 25317 is 1.

2. What are the Factors of 25310?

Answer: Factors of 25310 are 1, 2, 5, 10, 2531, 5062, 12655, 25310. There are 8 integers that are factors of 25310. The greatest factor of 25310 is 25310.

3. 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.

4. How to Find the GCF of 25310 and 25317?

Answer:

Greatest Common Factor of 25310 and 25317 = 1

Step 1: Find the prime factorization of 25310

25310 = 2 x 5 x 2531

Step 2: Find the prime factorization of 25317

25317 = 3 x 3 x 29 x 97

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 25310 and 25317 is 1