What is the Greatest Common Factor of 6171 and 6183?

Greatest common factor (GCF) of 6171 and 6183 is 3.

GCF(6171,6183) = 3

We will now calculate the prime factors of 6171 and 6183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6171 and 6183.

How to find the GCF of 6171 and 6183?

We will first find the prime factorization of 6171 and 6183. After we will calculate the factors of 6171 and 6183 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 6183

Prime factors of 6183 are 3, 229. Prime factorization of 6183 in exponential form is:

6183 = 3³ × 229¹

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 6183

List of positive integer factors of 6183 that divides 6171 without a remainder.

1, 3, 9, 27, 229, 687, 2061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6171 and 6183. The biggest common factor number is the GCF number.
So the greatest common factor 6171 and 6183 is 3.

Also check out the Least Common Multiple of 6171 and 6183