What is the Greatest Common Factor of 12210 and 12221?

Greatest common factor (GCF) of 12210 and 12221 is 11.

GCF(12210,12221) = 11

We will now calculate the prime factors of 12210 and 12221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12210 and 12221.

How to find the GCF of 12210 and 12221?

We will first find the prime factorization of 12210 and 12221. After we will calculate the factors of 12210 and 12221 and find the biggest common factor number .

Step-1: Prime Factorization of 12210

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

12210 = 2¹ × 3¹ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 12221

Prime factors of 12221 are 11, 101. Prime factorization of 12221 in exponential form is:

12221 = 11² × 101¹

Step-3: 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

Step-4: Factors of 12221

List of positive integer factors of 12221 that divides 12210 without a remainder.

1, 11, 101, 121, 1111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12210 and 12221. The biggest common factor number is the GCF number.
So the greatest common factor 12210 and 12221 is 11.

Also check out the Least Common Multiple of 12210 and 12221