What is the Greatest Common Factor of 3186 and 3204?

Greatest common factor (GCF) of 3186 and 3204 is 18.

GCF(3186,3204) = 18

We will now calculate the prime factors of 3186 and 3204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3186 and 3204.

How to find the GCF of 3186 and 3204?

We will first find the prime factorization of 3186 and 3204. After we will calculate the factors of 3186 and 3204 and find the biggest common factor number .

Step-1: Prime Factorization of 3186

Prime factors of 3186 are 2, 3, 59. Prime factorization of 3186 in exponential form is:

3186 = 2¹ × 3³ × 59¹

Step-2: Prime Factorization of 3204

Prime factors of 3204 are 2, 3, 89. Prime factorization of 3204 in exponential form is:

3204 = 2² × 3² × 89¹

Step-3: Factors of 3186

List of positive integer factors of 3186 that divides 3186 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593

Step-4: Factors of 3204

List of positive integer factors of 3204 that divides 3186 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3186 and 3204. The biggest common factor number is the GCF number.
So the greatest common factor 3186 and 3204 is 18.

Also check out the Least Common Multiple of 3186 and 3204