What is the Greatest Common Factor of 12194 and 12210?

Greatest common factor (GCF) of 12194 and 12210 is 2.

GCF(12194,12210) = 2

We will now calculate the prime factors of 12194 and 12210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12194 and 12210.

How to find the GCF of 12194 and 12210?

We will first find the prime factorization of 12194 and 12210. After we will calculate the factors of 12194 and 12210 and find the biggest common factor number .

Step-1: Prime Factorization of 12194

Prime factors of 12194 are 2, 7, 13, 67. Prime factorization of 12194 in exponential form is:

12194 = 2¹ × 7¹ × 13¹ × 67¹

Step-2: 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-3: Factors of 12194

List of positive integer factors of 12194 that divides 12194 without a remainder.

1, 2, 7, 13, 14, 26, 67, 91, 134, 182, 469, 871, 938, 1742, 6097

Step-4: Factors of 12210

List of positive integer factors of 12210 that divides 12194 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12194 and 12210. The biggest common factor number is the GCF number.
So the greatest common factor 12194 and 12210 is 2.

Also check out the Least Common Multiple of 12194 and 12210