Greatest Common Factor of 12210 and 12218

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, 12218 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12210 and 12218 is 2.

GCF(12210,12218) = 2

GCF of 12210 and 12218

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

GCF of:
and

Greatest Common Factor of 12210 and 12218

GCF of 12210 and 12218 is 2

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 12218


2 12218
41 6109
149 149
1

Prime factors of 12218 are 2,41,149. Prime factorization of 12218 in exponential form is:

12218 = 21×411×1491

∴ So by taking common prime factors GCF of 12210 and 12218 is 2

Greatest Common Factor of 12210 and 12218 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 12218

List of positive integer factors of 12218 that divides 12218 without a remainder.

1,2,41,82,149,298,6109,12218

Greatest Common Factor

We found the factors and prime factorization of 12210 and 12218. The biggest common factor number is the GCF number.
So the greatest common factor 12210 and 12218 is 2.

Also check out the Least Common Multiple of 12210 and 12218

Properties of GCF 12210 and 12218

(i) The GCF of 12210 and 12218 is associative

GCF of 12210 and 12218 = GCF of 12218 and 12210

Related Greatest Common Factor of 12210

Related Greatest Common Factor of 12218

Frequently Asked Questions on GCF of 12210 and 12218

1. What is the GCF of 12210 and 12218?

Answer: GCF of 12210 and 12218 is 2.

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 12218?

Answer: Factors of 12218 are 1, 2, 41, 82, 149, 298, 6109, 12218. There are 8 integers that are factors of 12218. The greatest factor of 12218 is 12218.

4. How to Find the GCF of 12210 and 12218?

Answer:

Greatest Common Factor of 12210 and 12218 = 2

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 12218

12218 = 2 x 41 x 149

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

GCF = 2

Step 4: Therefore, the greatest common factor of 12210 and 12218 is 2