Greatest Common Factor of 12210 and 12216

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 12210, 12216 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12210 and 12216 is 6.

GCF(12210,12216) = 6

GCF of 12210 and 12216

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

GCF of:
and

Greatest Common Factor of 12210 and 12216

GCF of 12210 and 12216 is 6

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

Prime Factorization of 12216


2 12216
2 6108
2 3054
3 1527
509 509
1

Prime factors of 12216 are 2,3,509. Prime factorization of 12216 in exponential form is:

12216 = 23×31×5091

∴ So by taking common prime factors GCF of 12210 and 12216 is 6

Greatest Common Factor of 12210 and 12216 by matching factors method

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

Factors of 12216

List of positive integer factors of 12216 that divides 12216 without a remainder.

1,2,3,4,6,8,12,24,509,1018,1527,2036,3054,4072,6108,12216

Greatest Common Factor

We found the factors and prime factorization of 12210 and 12216. The biggest common factor number is the GCF number.
So the greatest common factor 12210 and 12216 is 6.

Also check out the Least Common Multiple of 12210 and 12216

Properties of GCF 12210 and 12216

(i) The GCF of 12210 and 12216 is associative

GCF of 12210 and 12216 = GCF of 12216 and 12210

Related Greatest Common Factor of 12210

Related Greatest Common Factor of 12216

Frequently Asked Questions on GCF of 12210 and 12216

1. What is the GCF of 12210 and 12216?

Answer: GCF of 12210 and 12216 is 6.

2. 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.

3. What are the Factors of 12216?

Answer: Factors of 12216 are 1, 2, 3, 4, 6, 8, 12, 24, 509, 1018, 1527, 2036, 3054, 4072, 6108, 12216. There are 16 integers that are factors of 12216. The greatest factor of 12216 is 12216.

4. How to Find the GCF of 12210 and 12216?

Answer:

Greatest Common Factor of 12210 and 12216 = 6

Step 1: Find the prime factorization of 12210

12210 = 2 x 3 x 5 x 11 x 37

Step 2: Find the prime factorization of 12216

12216 = 2 x 2 x 2 x 3 x 509

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 12210 and 12216 is 6