Greatest Common Factor of 12237 and 12243

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 12237, 12243 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12237 and 12243 is 3.

GCF(12237,12243) = 3

GCF of 12237 and 12243

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

GCF of:
and

Greatest Common Factor of 12237 and 12243

GCF of 12237 and 12243 is 3

Prime Factorization of 12237


3 12237
4079 4079
1

Prime factors of 12237 are 3,4079. Prime factorization of 12237 in exponential form is:

12237 = 31×40791

Prime Factorization of 12243


3 12243
7 4081
11 583
53 53
1

Prime factors of 12243 are 3,7,11,53. Prime factorization of 12243 in exponential form is:

12243 = 31×71×111×531

∴ So by taking common prime factors GCF of 12237 and 12243 is 3

Greatest Common Factor of 12237 and 12243 by matching factors method

Factors of 12237

List of positive integer factors of 12237 that divides 12237 without a remainder.

1,3,4079,12237

Factors of 12243

List of positive integer factors of 12243 that divides 12243 without a remainder.

1,3,7,11,21,33,53,77,159,231,371,583,1113,1749,4081,12243

Greatest Common Factor

We found the factors and prime factorization of 12237 and 12243. The biggest common factor number is the GCF number.
So the greatest common factor 12237 and 12243 is 3.

Also check out the Least Common Multiple of 12237 and 12243

Properties of GCF 12237 and 12243

(i) The GCF of 12237 and 12243 is associative

GCF of 12237 and 12243 = GCF of 12243 and 12237

Related Greatest Common Factor of 12237

Related Greatest Common Factor of 12243

Frequently Asked Questions on GCF of 12237 and 12243

1. What is the GCF of 12237 and 12243?

Answer: GCF of 12237 and 12243 is 3.

2. What are the Factors of 12237?

Answer: Factors of 12237 are 1, 3, 4079, 12237. There are 4 integers that are factors of 12237. The greatest factor of 12237 is 12237.

3. What are the Factors of 12243?

Answer: Factors of 12243 are 1, 3, 7, 11, 21, 33, 53, 77, 159, 231, 371, 583, 1113, 1749, 4081, 12243. There are 16 integers that are factors of 12243. The greatest factor of 12243 is 12243.

4. How to Find the GCF of 12237 and 12243?

Answer:

Greatest Common Factor of 12237 and 12243 = 3

Step 1: Find the prime factorization of 12237

12237 = 3 x 4079

Step 2: Find the prime factorization of 12243

12243 = 3 x 7 x 11 x 53

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 12237 and 12243 is 3