Greatest Common Factor of 12205 and 12212

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 12205, 12212 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12205 and 12212 is 1.

GCF(12205,12212) = 1

GCF of 12205 and 12212

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

GCF of:
and

Greatest Common Factor of 12205 and 12212

GCF of 12205 and 12212 is 1

Prime Factorization of 12205


5 12205
2441 2441
1

Prime factors of 12205 are 5,2441. Prime factorization of 12205 in exponential form is:

12205 = 51×24411

Prime Factorization of 12212


2 12212
2 6106
43 3053
71 71
1

Prime factors of 12212 are 2,43,71. Prime factorization of 12212 in exponential form is:

12212 = 22×431×711

∴ So by taking common prime factors GCF of 12205 and 12212 is 1

Greatest Common Factor of 12205 and 12212 by matching factors method

Factors of 12205

List of positive integer factors of 12205 that divides 12205 without a remainder.

1,5,2441,12205

Factors of 12212

List of positive integer factors of 12212 that divides 12212 without a remainder.

1,2,4,43,71,86,142,172,284,3053,6106,12212

Greatest Common Factor

We found the factors and prime factorization of 12205 and 12212. The biggest common factor number is the GCF number.
So the greatest common factor 12205 and 12212 is 1.

Also check out the Least Common Multiple of 12205 and 12212

Properties of GCF 12205 and 12212

(i) The GCF of 12205 and 12212 is associative

GCF of 12205 and 12212 = GCF of 12212 and 12205

Related Greatest Common Factor of 12205

Related Greatest Common Factor of 12212

Frequently Asked Questions on GCF of 12205 and 12212

1. What is the GCF of 12205 and 12212?

Answer: GCF of 12205 and 12212 is 1.

2. What are the Factors of 12205?

Answer: Factors of 12205 are 1, 5, 2441, 12205. There are 4 integers that are factors of 12205. The greatest factor of 12205 is 12205.

3. What are the Factors of 12212?

Answer: Factors of 12212 are 1, 2, 4, 43, 71, 86, 142, 172, 284, 3053, 6106, 12212. There are 12 integers that are factors of 12212. The greatest factor of 12212 is 12212.

4. How to Find the GCF of 12205 and 12212?

Answer:

Greatest Common Factor of 12205 and 12212 = 1

Step 1: Find the prime factorization of 12205

12205 = 5 x 2441

Step 2: Find the prime factorization of 12212

12212 = 2 x 2 x 43 x 71

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 12205 and 12212 is 1