What is the Greatest Common Factor of 6183 and 6195?

Greatest common factor (GCF) of 6183 and 6195 is 3.

GCF(6183,6195) = 3

We will now calculate the prime factors of 6183 and 6195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6183 and 6195.

How to find the GCF of 6183 and 6195?

We will first find the prime factorization of 6183 and 6195. After we will calculate the factors of 6183 and 6195 and find the biggest common factor number .

Step-1: Prime Factorization of 6183

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

6183 = 3³ × 229¹

Step-2: Prime Factorization of 6195

Prime factors of 6195 are 3, 5, 7, 59. Prime factorization of 6195 in exponential form is:

6195 = 3¹ × 5¹ × 7¹ × 59¹

Step-3: Factors of 6183

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

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

Step-4: Factors of 6195

List of positive integer factors of 6195 that divides 6183 without a remainder.

1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6183 and 6195. The biggest common factor number is the GCF number.
So the greatest common factor 6183 and 6195 is 3.

Also check out the Least Common Multiple of 6183 and 6195