What is the Greatest Common Factor of 6085 and 6099?

Greatest common factor (GCF) of 6085 and 6099 is 1.

GCF(6085,6099) = 1

We will now calculate the prime factors of 6085 and 6099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6085 and 6099.

How to find the GCF of 6085 and 6099?

We will first find the prime factorization of 6085 and 6099. After we will calculate the factors of 6085 and 6099 and find the biggest common factor number .

Step-1: Prime Factorization of 6085

Prime factors of 6085 are 5, 1217. Prime factorization of 6085 in exponential form is:

6085 = 5¹ × 1217¹

Step-2: Prime Factorization of 6099

Prime factors of 6099 are 3, 19, 107. Prime factorization of 6099 in exponential form is:

6099 = 3¹ × 19¹ × 107¹

Step-3: Factors of 6085

List of positive integer factors of 6085 that divides 6085 without a remainder.

1, 5, 1217

Step-4: Factors of 6099

List of positive integer factors of 6099 that divides 6085 without a remainder.

1, 3, 19, 57, 107, 321, 2033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6085 and 6099. The biggest common factor number is the GCF number.
So the greatest common factor 6085 and 6099 is 1.

Also check out the Least Common Multiple of 6085 and 6099