Greatest Common Factor of 12327 and 12331

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, 12331 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12327 and 12331 is 1.

GCF(12327,12331) = 1

GCF of 12327 and 12331

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

GCF of:
and

Greatest Common Factor of 12327 and 12331

GCF of 12327 and 12331 is 1

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 12331


11 12331
19 1121
59 59
1

Prime factors of 12331 are 11,19,59. Prime factorization of 12331 in exponential form is:

12331 = 111×191×591

∴ So by taking common prime factors GCF of 12327 and 12331 is 1

Greatest Common Factor of 12327 and 12331 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 12331

List of positive integer factors of 12331 that divides 12331 without a remainder.

1,11,19,59,209,649,1121,12331

Greatest Common Factor

We found the factors and prime factorization of 12327 and 12331. The biggest common factor number is the GCF number.
So the greatest common factor 12327 and 12331 is 1.

Also check out the Least Common Multiple of 12327 and 12331

Properties of GCF 12327 and 12331

(i) The GCF of 12327 and 12331 is associative

GCF of 12327 and 12331 = GCF of 12331 and 12327

Related Greatest Common Factor of 12327

Related Greatest Common Factor of 12331

Frequently Asked Questions on GCF of 12327 and 12331

1. What is the GCF of 12327 and 12331?

Answer: GCF of 12327 and 12331 is 1.

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 12331?

Answer: Factors of 12331 are 1, 11, 19, 59, 209, 649, 1121, 12331. There are 8 integers that are factors of 12331. The greatest factor of 12331 is 12331.

4. How to Find the GCF of 12327 and 12331?

Answer:

Greatest Common Factor of 12327 and 12331 = 1

Step 1: Find the prime factorization of 12327

12327 = 3 x 7 x 587

Step 2: Find the prime factorization of 12331

12331 = 11 x 19 x 59

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 12327 and 12331 is 1