What is the Greatest Common Factor of 6171 and 6186?

Greatest common factor (GCF) of 6171 and 6186 is 3.

GCF(6171,6186) = 3

We will now calculate the prime factors of 6171 and 6186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6171 and 6186.

How to find the GCF of 6171 and 6186?

We will first find the prime factorization of 6171 and 6186. After we will calculate the factors of 6171 and 6186 and find the biggest common factor number .

Step-1: Prime Factorization of 6171

Prime factors of 6171 are 3, 11, 17. Prime factorization of 6171 in exponential form is:

6171 = 3¹ × 11² × 17¹

Step-2: Prime Factorization of 6186

Prime factors of 6186 are 2, 3, 1031. Prime factorization of 6186 in exponential form is:

6186 = 2¹ × 3¹ × 1031¹

Step-3: Factors of 6171

List of positive integer factors of 6171 that divides 6171 without a remainder.

1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057

Step-4: Factors of 6186

List of positive integer factors of 6186 that divides 6171 without a remainder.

1, 2, 3, 6, 1031, 2062, 3093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6171 and 6186. The biggest common factor number is the GCF number.
So the greatest common factor 6171 and 6186 is 3.

Also check out the Least Common Multiple of 6171 and 6186