Greatest Common Factor of 12304 and 12305

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, 12305 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12304 and 12305 is 1.

GCF(12304,12305) = 1

GCF of 12304 and 12305

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

GCF of:
and

Greatest Common Factor of 12304 and 12305

GCF of 12304 and 12305 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 12305


5 12305
23 2461
107 107
1

Prime factors of 12305 are 5,23,107. Prime factorization of 12305 in exponential form is:

12305 = 51×231×1071

∴ So by taking common prime factors GCF of 12304 and 12305 is 1

Greatest Common Factor of 12304 and 12305 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 12305

List of positive integer factors of 12305 that divides 12305 without a remainder.

1,5,23,107,115,535,2461,12305

Greatest Common Factor

We found the factors and prime factorization of 12304 and 12305. The biggest common factor number is the GCF number.
So the greatest common factor 12304 and 12305 is 1.

Also check out the Least Common Multiple of 12304 and 12305

Properties of GCF 12304 and 12305

(i) The GCF of 12304 and 12305 is associative

GCF of 12304 and 12305 = GCF of 12305 and 12304

Related Greatest Common Factor of 12304

Related Greatest Common Factor of 12305

Frequently Asked Questions on GCF of 12304 and 12305

1. What is the GCF of 12304 and 12305?

Answer: GCF of 12304 and 12305 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 12305?

Answer: Factors of 12305 are 1, 5, 23, 107, 115, 535, 2461, 12305. There are 8 integers that are factors of 12305. The greatest factor of 12305 is 12305.

4. How to Find the GCF of 12304 and 12305?

Answer:

Greatest Common Factor of 12304 and 12305 = 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 12305

12305 = 5 x 23 x 107

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 12305 is 1