Greatest Common Factor of 12309 and 12317

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 12309, 12317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12309 and 12317 is 1.

GCF(12309,12317) = 1

GCF of 12309 and 12317

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

GCF of:
and

Greatest Common Factor of 12309 and 12317

GCF of 12309 and 12317 is 1

Prime Factorization of 12309


3 12309
11 4103
373 373
1

Prime factors of 12309 are 3,11,373. Prime factorization of 12309 in exponential form is:

12309 = 31×111×3731

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

∴ So by taking common prime factors GCF of 12309 and 12317 is 1

Greatest Common Factor of 12309 and 12317 by matching factors method

Factors of 12309

List of positive integer factors of 12309 that divides 12309 without a remainder.

1,3,11,33,373,1119,4103,12309

Factors of 12317

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

1,109,113,12317

Greatest Common Factor

We found the factors and prime factorization of 12309 and 12317. The biggest common factor number is the GCF number.
So the greatest common factor 12309 and 12317 is 1.

Also check out the Least Common Multiple of 12309 and 12317

Properties of GCF 12309 and 12317

(i) The GCF of 12309 and 12317 is associative

GCF of 12309 and 12317 = GCF of 12317 and 12309

Related Greatest Common Factor of 12309

Related Greatest Common Factor of 12317

Frequently Asked Questions on GCF of 12309 and 12317

1. What is the GCF of 12309 and 12317?

Answer: GCF of 12309 and 12317 is 1.

2. What are the Factors of 12309?

Answer: Factors of 12309 are 1, 3, 11, 33, 373, 1119, 4103, 12309. There are 8 integers that are factors of 12309. The greatest factor of 12309 is 12309.

3. 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.

4. How to Find the GCF of 12309 and 12317?

Answer:

Greatest Common Factor of 12309 and 12317 = 1

Step 1: Find the prime factorization of 12309

12309 = 3 x 11 x 373

Step 2: Find the prime factorization of 12317

12317 = 109 x 113

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 12309 and 12317 is 1