What is the Greatest Common Factor of 3171 and 3186?

Greatest common factor (GCF) of 3171 and 3186 is 3.

GCF(3171,3186) = 3

We will now calculate the prime factors of 3171 and 3186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3171 and 3186.

How to find the GCF of 3171 and 3186?

We will first find the prime factorization of 3171 and 3186. After we will calculate the factors of 3171 and 3186 and find the biggest common factor number .

Step-1: Prime Factorization of 3171

Prime factors of 3171 are 3, 7, 151. Prime factorization of 3171 in exponential form is:

3171 = 3¹ × 7¹ × 151¹

Step-2: 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-3: Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1, 3, 7, 21, 151, 453, 1057

Step-4: Factors of 3186

List of positive integer factors of 3186 that divides 3171 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3171 and 3186. The biggest common factor number is the GCF number.
So the greatest common factor 3171 and 3186 is 3.

Also check out the Least Common Multiple of 3171 and 3186