Greatest Common Factor of 12207 and 12209

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 12207, 12209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12207 and 12209 is 1.

GCF(12207,12209) = 1

GCF of 12207 and 12209

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

GCF of:
and

Greatest Common Factor of 12207 and 12209

GCF of 12207 and 12209 is 1

Prime Factorization of 12207


3 12207
13 4069
313 313
1

Prime factors of 12207 are 3,13,313. Prime factorization of 12207 in exponential form is:

12207 = 31×131×3131

Prime Factorization of 12209


29 12209
421 421
1

Prime factors of 12209 are 29,421. Prime factorization of 12209 in exponential form is:

12209 = 291×4211

∴ So by taking common prime factors GCF of 12207 and 12209 is 1

Greatest Common Factor of 12207 and 12209 by matching factors method

Factors of 12207

List of positive integer factors of 12207 that divides 12207 without a remainder.

1,3,13,39,313,939,4069,12207

Factors of 12209

List of positive integer factors of 12209 that divides 12209 without a remainder.

1,29,421,12209

Greatest Common Factor

We found the factors and prime factorization of 12207 and 12209. The biggest common factor number is the GCF number.
So the greatest common factor 12207 and 12209 is 1.

Also check out the Least Common Multiple of 12207 and 12209

Properties of GCF 12207 and 12209

(i) The GCF of 12207 and 12209 is associative

GCF of 12207 and 12209 = GCF of 12209 and 12207

Related Greatest Common Factor of 12207

Related Greatest Common Factor of 12209

Frequently Asked Questions on GCF of 12207 and 12209

1. What is the GCF of 12207 and 12209?

Answer: GCF of 12207 and 12209 is 1.

2. What are the Factors of 12207?

Answer: Factors of 12207 are 1, 3, 13, 39, 313, 939, 4069, 12207. There are 8 integers that are factors of 12207. The greatest factor of 12207 is 12207.

3. What are the Factors of 12209?

Answer: Factors of 12209 are 1, 29, 421, 12209. There are 4 integers that are factors of 12209. The greatest factor of 12209 is 12209.

4. How to Find the GCF of 12207 and 12209?

Answer:

Greatest Common Factor of 12207 and 12209 = 1

Step 1: Find the prime factorization of 12207

12207 = 3 x 13 x 313

Step 2: Find the prime factorization of 12209

12209 = 29 x 421

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 12207 and 12209 is 1