Greatest Common Factor of 12304 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 12304, 12309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12304 and 12309 is 1.

GCF(12304,12309) = 1

GCF of 12304 and 12309

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

GCF of:
and

Greatest Common Factor of 12304 and 12309

GCF of 12304 and 12309 is 1

Prime Factorization of 12304


2 12304
2 6152
2 3076
2 1538
769 769
1

Prime factors of 12304 are 2,769. Prime factorization of 12304 in exponential form is:

12304 = 24×7691

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 12304 and 12309 is 1

Greatest Common Factor of 12304 and 12309 by matching factors method

Factors of 12304

List of positive integer factors of 12304 that divides 12304 without a remainder.

1,2,4,8,16,769,1538,3076,6152,12304

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 12304 and 12309. The biggest common factor number is the GCF number.
So the greatest common factor 12304 and 12309 is 1.

Also check out the Least Common Multiple of 12304 and 12309

Properties of GCF 12304 and 12309

(i) The GCF of 12304 and 12309 is associative

GCF of 12304 and 12309 = GCF of 12309 and 12304

Related Greatest Common Factor of 12304

Related Greatest Common Factor of 12309

Frequently Asked Questions on GCF of 12304 and 12309

1. What is the GCF of 12304 and 12309?

Answer: GCF of 12304 and 12309 is 1.

2. What are the Factors of 12304?

Answer: Factors of 12304 are 1, 2, 4, 8, 16, 769, 1538, 3076, 6152, 12304. There are 10 integers that are factors of 12304. The greatest factor of 12304 is 12304.

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 12304 and 12309?

Answer:

Greatest Common Factor of 12304 and 12309 = 1

Step 1: Find the prime factorization of 12304

12304 = 2 x 2 x 2 x 2 x 769

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 = = 1

Step 4: Therefore, the greatest common factor of 12304 and 12309 is 1