What is the Greatest Common Factor of 12186 and 12196?

Greatest common factor (GCF) of 12186 and 12196 is 2.

GCF(12186,12196) = 2

We will now calculate the prime factors of 12186 and 12196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12186 and 12196.

How to find the GCF of 12186 and 12196?

We will first find the prime factorization of 12186 and 12196. After we will calculate the factors of 12186 and 12196 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 12196

Prime factors of 12196 are 2, 3049. Prime factorization of 12196 in exponential form is:

12196 = 2² × 3049¹

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 12196

List of positive integer factors of 12196 that divides 12186 without a remainder.

1, 2, 4, 3049, 6098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12186 and 12196. The biggest common factor number is the GCF number.
So the greatest common factor 12186 and 12196 is 2.

Also check out the Least Common Multiple of 12186 and 12196