What is the Greatest Common Factor of 12186 and 12193?

Greatest common factor (GCF) of 12186 and 12193 is 1.

GCF(12186,12193) = 1

We will now calculate the prime factors of 12186 and 12193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12186 and 12193.

How to find the GCF of 12186 and 12193?

We will first find the prime factorization of 12186 and 12193. After we will calculate the factors of 12186 and 12193 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 12193

Prime factors of 12193 are 89, 137. Prime factorization of 12193 in exponential form is:

12193 = 89¹ × 137¹

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 12193

List of positive integer factors of 12193 that divides 12186 without a remainder.

1, 89, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12186 and 12193. The biggest common factor number is the GCF number.
So the greatest common factor 12186 and 12193 is 1.

Also check out the Least Common Multiple of 12186 and 12193