What is the Greatest Common Factor of 12186 and 12201?

Greatest common factor (GCF) of 12186 and 12201 is 3.

GCF(12186,12201) = 3

We will now calculate the prime factors of 12186 and 12201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12186 and 12201.

How to find the GCF of 12186 and 12201?

We will first find the prime factorization of 12186 and 12201. After we will calculate the factors of 12186 and 12201 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 12201

Prime factors of 12201 are 3, 7, 83. Prime factorization of 12201 in exponential form is:

12201 = 3¹ × 7² × 83¹

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 12201

List of positive integer factors of 12201 that divides 12186 without a remainder.

1, 3, 7, 21, 49, 83, 147, 249, 581, 1743, 4067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12186 and 12201. The biggest common factor number is the GCF number.
So the greatest common factor 12186 and 12201 is 3.

Also check out the Least Common Multiple of 12186 and 12201