What is the Greatest Common Factor of 6075 and 6086?

Greatest common factor (GCF) of 6075 and 6086 is 1.

GCF(6075,6086) = 1

We will now calculate the prime factors of 6075 and 6086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6075 and 6086.

How to find the GCF of 6075 and 6086?

We will first find the prime factorization of 6075 and 6086. After we will calculate the factors of 6075 and 6086 and find the biggest common factor number .

Step-1: Prime Factorization of 6075

Prime factors of 6075 are 3, 5. Prime factorization of 6075 in exponential form is:

6075 = 3⁵ × 5²

Step-2: Prime Factorization of 6086

Prime factors of 6086 are 2, 17, 179. Prime factorization of 6086 in exponential form is:

6086 = 2¹ × 17¹ × 179¹

Step-3: Factors of 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025

Step-4: Factors of 6086

List of positive integer factors of 6086 that divides 6075 without a remainder.

1, 2, 17, 34, 179, 358, 3043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6075 and 6086. The biggest common factor number is the GCF number.
So the greatest common factor 6075 and 6086 is 1.

Also check out the Least Common Multiple of 6075 and 6086