Greatest Common Factor of 12206 and 12213

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 12206, 12213 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12206 and 12213 is 1.

GCF(12206,12213) = 1

GCF of 12206 and 12213

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

GCF of:
and

Greatest Common Factor of 12206 and 12213

GCF of 12206 and 12213 is 1

Prime Factorization of 12206


2 12206
17 6103
359 359
1

Prime factors of 12206 are 2,17,359. Prime factorization of 12206 in exponential form is:

12206 = 21×171×3591

Prime Factorization of 12213


3 12213
3 4071
23 1357
59 59
1

Prime factors of 12213 are 3,23,59. Prime factorization of 12213 in exponential form is:

12213 = 32×231×591

∴ So by taking common prime factors GCF of 12206 and 12213 is 1

Greatest Common Factor of 12206 and 12213 by matching factors method

Factors of 12206

List of positive integer factors of 12206 that divides 12206 without a remainder.

1,2,17,34,359,718,6103,12206

Factors of 12213

List of positive integer factors of 12213 that divides 12213 without a remainder.

1,3,9,23,59,69,177,207,531,1357,4071,12213

Greatest Common Factor

We found the factors and prime factorization of 12206 and 12213. The biggest common factor number is the GCF number.
So the greatest common factor 12206 and 12213 is 1.

Also check out the Least Common Multiple of 12206 and 12213

Properties of GCF 12206 and 12213

(i) The GCF of 12206 and 12213 is associative

GCF of 12206 and 12213 = GCF of 12213 and 12206

Related Greatest Common Factor of 12206

Related Greatest Common Factor of 12213

Frequently Asked Questions on GCF of 12206 and 12213

1. What is the GCF of 12206 and 12213?

Answer: GCF of 12206 and 12213 is 1.

2. What are the Factors of 12206?

Answer: Factors of 12206 are 1, 2, 17, 34, 359, 718, 6103, 12206. There are 8 integers that are factors of 12206. The greatest factor of 12206 is 12206.

3. What are the Factors of 12213?

Answer: Factors of 12213 are 1, 3, 9, 23, 59, 69, 177, 207, 531, 1357, 4071, 12213. There are 12 integers that are factors of 12213. The greatest factor of 12213 is 12213.

4. How to Find the GCF of 12206 and 12213?

Answer:

Greatest Common Factor of 12206 and 12213 = 1

Step 1: Find the prime factorization of 12206

12206 = 2 x 17 x 359

Step 2: Find the prime factorization of 12213

12213 = 3 x 3 x 23 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 12206 and 12213 is 1