Greatest Common Factor of 12327 and 12330

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 12327, 12330 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12327 and 12330 is 3.

GCF(12327,12330) = 3

GCF of 12327 and 12330

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

GCF of:
and

Greatest Common Factor of 12327 and 12330

GCF of 12327 and 12330 is 3

Prime Factorization of 12327


3 12327
7 4109
587 587
1

Prime factors of 12327 are 3,7,587. Prime factorization of 12327 in exponential form is:

12327 = 31×71×5871

Prime Factorization of 12330


2 12330
3 6165
3 2055
5 685
137 137
1

Prime factors of 12330 are 2,3,5,137. Prime factorization of 12330 in exponential form is:

12330 = 21×32×51×1371

∴ So by taking common prime factors GCF of 12327 and 12330 is 3

Greatest Common Factor of 12327 and 12330 by matching factors method

Factors of 12327

List of positive integer factors of 12327 that divides 12327 without a remainder.

1,3,7,21,587,1761,4109,12327

Factors of 12330

List of positive integer factors of 12330 that divides 12330 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,137,274,411,685,822,1233,1370,2055,2466,4110,6165,12330

Greatest Common Factor

We found the factors and prime factorization of 12327 and 12330. The biggest common factor number is the GCF number.
So the greatest common factor 12327 and 12330 is 3.

Also check out the Least Common Multiple of 12327 and 12330

Properties of GCF 12327 and 12330

(i) The GCF of 12327 and 12330 is associative

GCF of 12327 and 12330 = GCF of 12330 and 12327

Related Greatest Common Factor of 12327

Related Greatest Common Factor of 12330

Frequently Asked Questions on GCF of 12327 and 12330

1. What is the GCF of 12327 and 12330?

Answer: GCF of 12327 and 12330 is 3.

2. What are the Factors of 12327?

Answer: Factors of 12327 are 1, 3, 7, 21, 587, 1761, 4109, 12327. There are 8 integers that are factors of 12327. The greatest factor of 12327 is 12327.

3. What are the Factors of 12330?

Answer: Factors of 12330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 137, 274, 411, 685, 822, 1233, 1370, 2055, 2466, 4110, 6165, 12330. There are 24 integers that are factors of 12330. The greatest factor of 12330 is 12330.

4. How to Find the GCF of 12327 and 12330?

Answer:

Greatest Common Factor of 12327 and 12330 = 3

Step 1: Find the prime factorization of 12327

12327 = 3 x 7 x 587

Step 2: Find the prime factorization of 12330

12330 = 2 x 3 x 3 x 5 x 137

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 12327 and 12330 is 3