Greatest Common Factor of 12304 and 12312

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, 12312 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12304 and 12312 is 8.

GCF(12304,12312) = 8

GCF of 12304 and 12312

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

GCF of:
and

Greatest Common Factor of 12304 and 12312

GCF of 12304 and 12312 is 8

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 12312


2 12312
2 6156
2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 12312 are 2,3,19. Prime factorization of 12312 in exponential form is:

12312 = 23×34×191

∴ So by taking common prime factors GCF of 12304 and 12312 is 8

Greatest Common Factor of 12304 and 12312 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 12312

List of positive integer factors of 12312 that divides 12312 without a remainder.

1,2,3,4,6,8,9,12,18,19,24,27,36,38,54,57,72,76,81,108,114,152,162,171,216,228,324,342,456,513,648,684,1026,1368,1539,2052,3078,4104,6156,12312

Greatest Common Factor

We found the factors and prime factorization of 12304 and 12312. The biggest common factor number is the GCF number.
So the greatest common factor 12304 and 12312 is 8.

Also check out the Least Common Multiple of 12304 and 12312

Properties of GCF 12304 and 12312

(i) The GCF of 12304 and 12312 is associative

GCF of 12304 and 12312 = GCF of 12312 and 12304

Related Greatest Common Factor of 12304

Related Greatest Common Factor of 12312

Frequently Asked Questions on GCF of 12304 and 12312

1. What is the GCF of 12304 and 12312?

Answer: GCF of 12304 and 12312 is 8.

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 12312?

Answer: Factors of 12312 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 81, 108, 114, 152, 162, 171, 216, 228, 324, 342, 456, 513, 648, 684, 1026, 1368, 1539, 2052, 3078, 4104, 6156, 12312. There are 40 integers that are factors of 12312. The greatest factor of 12312 is 12312.

4. How to Find the GCF of 12304 and 12312?

Answer:

Greatest Common Factor of 12304 and 12312 = 8

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 12312

12312 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 19

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 12304 and 12312 is 8