What is the Greatest Common Factor of 12186 and 12194?

Greatest common factor (GCF) of 12186 and 12194 is 2.

GCF(12186,12194) = 2

We will now calculate the prime factors of 12186 and 12194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12186 and 12194.

How to find the GCF of 12186 and 12194?

We will first find the prime factorization of 12186 and 12194. After we will calculate the factors of 12186 and 12194 and find the biggest common factor number .

Step-1: Prime Factorization of 12186

Prime factors of 12186 are 2, 3, 677. Prime factorization of 12186 in exponential form is:

12186 = 2¹ × 3² × 677¹

Step-2: 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-3: Factors of 12186

List of positive integer factors of 12186 that divides 12186 without a remainder.

1, 2, 3, 6, 9, 18, 677, 1354, 2031, 4062, 6093

Step-4: Factors of 12194

List of positive integer factors of 12194 that divides 12186 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12186 and 12194. The biggest common factor number is the GCF number.
So the greatest common factor 12186 and 12194 is 2.

Also check out the Least Common Multiple of 12186 and 12194