Greatest Common Factor of 12204 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 12204, 12212 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12204 and 12212 is 4.

GCF(12204,12212) = 4

GCF of 12204 and 12212

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

GCF of:
and

Greatest Common Factor of 12204 and 12212

GCF of 12204 and 12212 is 4

Prime Factorization of 12204


2 12204
2 6102
3 3051
3 1017
3 339
113 113
1

Prime factors of 12204 are 2,3,113. Prime factorization of 12204 in exponential form is:

12204 = 22×33×1131

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 12204 and 12212 is 4

Greatest Common Factor of 12204 and 12212 by matching factors method

Factors of 12204

List of positive integer factors of 12204 that divides 12204 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108,113,226,339,452,678,1017,1356,2034,3051,4068,6102,12204

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 12204 and 12212. The biggest common factor number is the GCF number.
So the greatest common factor 12204 and 12212 is 4.

Also check out the Least Common Multiple of 12204 and 12212

Properties of GCF 12204 and 12212

(i) The GCF of 12204 and 12212 is associative

GCF of 12204 and 12212 = GCF of 12212 and 12204

Related Greatest Common Factor of 12204

Related Greatest Common Factor of 12212

Frequently Asked Questions on GCF of 12204 and 12212

1. What is the GCF of 12204 and 12212?

Answer: GCF of 12204 and 12212 is 4.

2. What are the Factors of 12204?

Answer: Factors of 12204 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 113, 226, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102, 12204. There are 24 integers that are factors of 12204. The greatest factor of 12204 is 12204.

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 12204 and 12212?

Answer:

Greatest Common Factor of 12204 and 12212 = 4

Step 1: Find the prime factorization of 12204

12204 = 2 x 2 x 3 x 3 x 3 x 113

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 12204 and 12212 is 4