Greatest Common Factor of 12306 and 12309

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 12306, 12309 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12306 and 12309 is 3.

GCF(12306,12309) = 3

GCF of 12306 and 12309

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

GCF of:
and

Greatest Common Factor of 12306 and 12309

GCF of 12306 and 12309 is 3

Prime Factorization of 12306


2 12306
3 6153
7 2051
293 293
1

Prime factors of 12306 are 2,3,7,293. Prime factorization of 12306 in exponential form is:

12306 = 21×31×71×2931

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

∴ So by taking common prime factors GCF of 12306 and 12309 is 3

Greatest Common Factor of 12306 and 12309 by matching factors method

Factors of 12306

List of positive integer factors of 12306 that divides 12306 without a remainder.

1,2,3,6,7,14,21,42,293,586,879,1758,2051,4102,6153,12306

Factors of 12309

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

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

Greatest Common Factor

We found the factors and prime factorization of 12306 and 12309. The biggest common factor number is the GCF number.
So the greatest common factor 12306 and 12309 is 3.

Also check out the Least Common Multiple of 12306 and 12309

Properties of GCF 12306 and 12309

(i) The GCF of 12306 and 12309 is associative

GCF of 12306 and 12309 = GCF of 12309 and 12306

Related Greatest Common Factor of 12306

Related Greatest Common Factor of 12309

Frequently Asked Questions on GCF of 12306 and 12309

1. What is the GCF of 12306 and 12309?

Answer: GCF of 12306 and 12309 is 3.

2. What are the Factors of 12306?

Answer: Factors of 12306 are 1, 2, 3, 6, 7, 14, 21, 42, 293, 586, 879, 1758, 2051, 4102, 6153, 12306. There are 16 integers that are factors of 12306. The greatest factor of 12306 is 12306.

3. 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.

4. How to Find the GCF of 12306 and 12309?

Answer:

Greatest Common Factor of 12306 and 12309 = 3

Step 1: Find the prime factorization of 12306

12306 = 2 x 3 x 7 x 293

Step 2: Find the prime factorization of 12309

12309 = 3 x 11 x 373

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 12306 and 12309 is 3