What is the Greatest Common Factor of 12186 and 12198?

Greatest common factor (GCF) of 12186 and 12198 is 6.

GCF(12186,12198) = 6

We will now calculate the prime factors of 12186 and 12198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12186 and 12198.

How to find the GCF of 12186 and 12198?

We will first find the prime factorization of 12186 and 12198. After we will calculate the factors of 12186 and 12198 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 12198

Prime factors of 12198 are 2, 3, 19, 107. Prime factorization of 12198 in exponential form is:

12198 = 2¹ × 3¹ × 19¹ × 107¹

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 12198

List of positive integer factors of 12198 that divides 12186 without a remainder.

1, 2, 3, 6, 19, 38, 57, 107, 114, 214, 321, 642, 2033, 4066, 6099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12186 and 12198. The biggest common factor number is the GCF number.
So the greatest common factor 12186 and 12198 is 6.

Also check out the Least Common Multiple of 12186 and 12198