Greatest Common Factor of 12309 and 12314

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, 12314 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12309 and 12314 is 1.

GCF(12309,12314) = 1

GCF of 12309 and 12314

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

GCF of:
and

Greatest Common Factor of 12309 and 12314

GCF of 12309 and 12314 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 12314


2 12314
47 6157
131 131
1

Prime factors of 12314 are 2,47,131. Prime factorization of 12314 in exponential form is:

12314 = 21×471×1311

∴ So by taking common prime factors GCF of 12309 and 12314 is 1

Greatest Common Factor of 12309 and 12314 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 12314

List of positive integer factors of 12314 that divides 12314 without a remainder.

1,2,47,94,131,262,6157,12314

Greatest Common Factor

We found the factors and prime factorization of 12309 and 12314. The biggest common factor number is the GCF number.
So the greatest common factor 12309 and 12314 is 1.

Also check out the Least Common Multiple of 12309 and 12314

Properties of GCF 12309 and 12314

(i) The GCF of 12309 and 12314 is associative

GCF of 12309 and 12314 = GCF of 12314 and 12309

Related Greatest Common Factor of 12309

Related Greatest Common Factor of 12314

Frequently Asked Questions on GCF of 12309 and 12314

1. What is the GCF of 12309 and 12314?

Answer: GCF of 12309 and 12314 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 12314?

Answer: Factors of 12314 are 1, 2, 47, 94, 131, 262, 6157, 12314. There are 8 integers that are factors of 12314. The greatest factor of 12314 is 12314.

4. How to Find the GCF of 12309 and 12314?

Answer:

Greatest Common Factor of 12309 and 12314 = 1

Step 1: Find the prime factorization of 12309

12309 = 3 x 11 x 373

Step 2: Find the prime factorization of 12314

12314 = 2 x 47 x 131

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 12314 is 1