Greatest Common Factor of 12204 and 12210

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, 12210 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12204 and 12210 is 6.

GCF(12204,12210) = 6

GCF of 12204 and 12210

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

GCF of:
and

Greatest Common Factor of 12204 and 12210

GCF of 12204 and 12210 is 6

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 12210


2 12210
3 6105
5 2035
11 407
37 37
1

Prime factors of 12210 are 2,3,5,11,37. Prime factorization of 12210 in exponential form is:

12210 = 21×31×51×111×371

∴ So by taking common prime factors GCF of 12204 and 12210 is 6

Greatest Common Factor of 12204 and 12210 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 12210

List of positive integer factors of 12210 that divides 12210 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,37,55,66,74,110,111,165,185,222,330,370,407,555,814,1110,1221,2035,2442,4070,6105,12210

Greatest Common Factor

We found the factors and prime factorization of 12204 and 12210. The biggest common factor number is the GCF number.
So the greatest common factor 12204 and 12210 is 6.

Also check out the Least Common Multiple of 12204 and 12210

Properties of GCF 12204 and 12210

(i) The GCF of 12204 and 12210 is associative

GCF of 12204 and 12210 = GCF of 12210 and 12204

Related Greatest Common Factor of 12204

Related Greatest Common Factor of 12210

Frequently Asked Questions on GCF of 12204 and 12210

1. What is the GCF of 12204 and 12210?

Answer: GCF of 12204 and 12210 is 6.

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 12210?

Answer: Factors of 12210 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 37, 55, 66, 74, 110, 111, 165, 185, 222, 330, 370, 407, 555, 814, 1110, 1221, 2035, 2442, 4070, 6105, 12210. There are 32 integers that are factors of 12210. The greatest factor of 12210 is 12210.

4. How to Find the GCF of 12204 and 12210?

Answer:

Greatest Common Factor of 12204 and 12210 = 6

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 12210

12210 = 2 x 3 x 5 x 11 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 12204 and 12210 is 6