Greatest Common Factor of 12241 and 12249

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 12241, 12249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12241 and 12249 is 1.

GCF(12241,12249) = 1

GCF of 12241 and 12249

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

GCF of:
and

Greatest Common Factor of 12241 and 12249

GCF of 12241 and 12249 is 1

Prime Factorization of 12241


12241 12241
1

Prime factors of 12241 are 12241. Prime factorization of 12241 in exponential form is:

12241 = 122411

Prime Factorization of 12249


3 12249
3 4083
1361 1361
1

Prime factors of 12249 are 3.Prime factorization of 12249 in exponential form is:

12249 = 32×13611

∴ So by taking common prime factors GCF of 12241 and 12249 is 1

Greatest Common Factor of 12241 and 12249 by matching factors method

Factors of 12241

List of positive integer factors of 12241 that divides 12241 without a remainder.

1,12241

Factors of 12249

List of positive integer factors of 12249 that divides 12249 without a remainder.

1,3,9,1361,4083,12249

Greatest Common Factor

We found the factors and prime factorization of 12241 and 12249. The biggest common factor number is the GCF number.
So the greatest common factor 12241 and 12249 is 1.

Also check out the Least Common Multiple of 12241 and 12249

Properties of GCF 12241 and 12249

(i) The GCF of 12241 and 12249 is associative

GCF of 12241 and 12249 = GCF of 12249 and 12241

Related Greatest Common Factor of 12241

Related Greatest Common Factor of 12249

Frequently Asked Questions on GCF of 12241 and 12249

1. What is the GCF of 12241 and 12249?

Answer: GCF of 12241 and 12249 is 1.

2. What are the Factors of 12241?

Answer: Factors of 12241 are 1, 12241. There are 2 integers that are factors of 12241. The greatest factor of 12241 is 12241.

3. What are the Factors of 12249?

Answer: Factors of 12249 are 1, 3, 9, 1361, 4083, 12249. There are 6 integers that are factors of 12249. The greatest factor of 12249 is 12249.

4. How to Find the GCF of 12241 and 12249?

Answer:

Greatest Common Factor of 12241 and 12249 = 1

Step 1: Find the prime factorization of 12241

12241 = 12241

Step 2: Find the prime factorization of 12249

12249 = 3 x 3 x 1361

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 12241 and 12249 is 1