What is the Greatest Common Factor of 3174 and 3186?

Greatest common factor (GCF) of 3174 and 3186 is 6.

GCF(3174,3186) = 6

We will now calculate the prime factors of 3174 and 3186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3174 and 3186.

How to find the GCF of 3174 and 3186?

We will first find the prime factorization of 3174 and 3186. After we will calculate the factors of 3174 and 3186 and find the biggest common factor number .

Step-1: Prime Factorization of 3174

Prime factors of 3174 are 2, 3, 23. Prime factorization of 3174 in exponential form is:

3174 = 2¹ × 3¹ × 23²

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 3174

List of positive integer factors of 3174 that divides 3174 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587

Step-4: Factors of 3186

List of positive integer factors of 3186 that divides 3174 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 3174 and 3186. The biggest common factor number is the GCF number.
So the greatest common factor 3174 and 3186 is 6.

Also check out the Least Common Multiple of 3174 and 3186