What is the Greatest Common Factor of 3186 and 3199?

Greatest common factor (GCF) of 3186 and 3199 is 1.

GCF(3186,3199) = 1

We will now calculate the prime factors of 3186 and 3199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3186 and 3199.

How to find the GCF of 3186 and 3199?

We will first find the prime factorization of 3186 and 3199. After we will calculate the factors of 3186 and 3199 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 3199

Prime factors of 3199 are 7, 457. Prime factorization of 3199 in exponential form is:

3199 = 7¹ × 457¹

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 3199

List of positive integer factors of 3199 that divides 3186 without a remainder.

1, 7, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3186 and 3199. The biggest common factor number is the GCF number.
So the greatest common factor 3186 and 3199 is 1.

Also check out the Least Common Multiple of 3186 and 3199