Greatest Common Factor of 12317 and 12325

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 12317, 12325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12317 and 12325 is 1.

GCF(12317,12325) = 1

GCF of 12317 and 12325

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

GCF of:
and

Greatest Common Factor of 12317 and 12325

GCF of 12317 and 12325 is 1

Prime Factorization of 12317


109 12317
113 113
1

Prime factors of 12317 are 109,113. Prime factorization of 12317 in exponential form is:

12317 = 1091×1131

Prime Factorization of 12325


5 12325
5 2465
17 493
29 29
1

Prime factors of 12325 are 5,17,29. Prime factorization of 12325 in exponential form is:

12325 = 52×171×291

∴ So by taking common prime factors GCF of 12317 and 12325 is 1

Greatest Common Factor of 12317 and 12325 by matching factors method

Factors of 12317

List of positive integer factors of 12317 that divides 12317 without a remainder.

1,109,113,12317

Factors of 12325

List of positive integer factors of 12325 that divides 12325 without a remainder.

1,5,17,25,29,85,145,425,493,725,2465,12325

Greatest Common Factor

We found the factors and prime factorization of 12317 and 12325. The biggest common factor number is the GCF number.
So the greatest common factor 12317 and 12325 is 1.

Also check out the Least Common Multiple of 12317 and 12325

Properties of GCF 12317 and 12325

(i) The GCF of 12317 and 12325 is associative

GCF of 12317 and 12325 = GCF of 12325 and 12317

Related Greatest Common Factor of 12317

Related Greatest Common Factor of 12325

Frequently Asked Questions on GCF of 12317 and 12325

1. What is the GCF of 12317 and 12325?

Answer: GCF of 12317 and 12325 is 1.

2. What are the Factors of 12317?

Answer: Factors of 12317 are 1, 109, 113, 12317. There are 4 integers that are factors of 12317. The greatest factor of 12317 is 12317.

3. What are the Factors of 12325?

Answer: Factors of 12325 are 1, 5, 17, 25, 29, 85, 145, 425, 493, 725, 2465, 12325. There are 12 integers that are factors of 12325. The greatest factor of 12325 is 12325.

4. How to Find the GCF of 12317 and 12325?

Answer:

Greatest Common Factor of 12317 and 12325 = 1

Step 1: Find the prime factorization of 12317

12317 = 109 x 113

Step 2: Find the prime factorization of 12325

12325 = 5 x 5 x 17 x 29

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 12317 and 12325 is 1