Greatest Common Factor of 12304 and 12308

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, 12308 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12304 and 12308 is 4.

GCF(12304,12308) = 4

GCF of 12304 and 12308

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

GCF of:
and

Greatest Common Factor of 12304 and 12308

GCF of 12304 and 12308 is 4

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 12308


2 12308
2 6154
17 3077
181 181
1

Prime factors of 12308 are 2,17,181. Prime factorization of 12308 in exponential form is:

12308 = 22×171×1811

∴ So by taking common prime factors GCF of 12304 and 12308 is 4

Greatest Common Factor of 12304 and 12308 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 12308

List of positive integer factors of 12308 that divides 12308 without a remainder.

1,2,4,17,34,68,181,362,724,3077,6154,12308

Greatest Common Factor

We found the factors and prime factorization of 12304 and 12308. The biggest common factor number is the GCF number.
So the greatest common factor 12304 and 12308 is 4.

Also check out the Least Common Multiple of 12304 and 12308

Properties of GCF 12304 and 12308

(i) The GCF of 12304 and 12308 is associative

GCF of 12304 and 12308 = GCF of 12308 and 12304

Related Greatest Common Factor of 12304

Related Greatest Common Factor of 12308

Frequently Asked Questions on GCF of 12304 and 12308

1. What is the GCF of 12304 and 12308?

Answer: GCF of 12304 and 12308 is 4.

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 12308?

Answer: Factors of 12308 are 1, 2, 4, 17, 34, 68, 181, 362, 724, 3077, 6154, 12308. There are 12 integers that are factors of 12308. The greatest factor of 12308 is 12308.

4. How to Find the GCF of 12304 and 12308?

Answer:

Greatest Common Factor of 12304 and 12308 = 4

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 12308

12308 = 2 x 2 x 17 x 181

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 12304 and 12308 is 4