What is the Greatest Common Factor of 6085 and 6104?

Greatest common factor (GCF) of 6085 and 6104 is 1.

GCF(6085,6104) = 1

We will now calculate the prime factors of 6085 and 6104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6085 and 6104.

How to find the GCF of 6085 and 6104?

We will first find the prime factorization of 6085 and 6104. After we will calculate the factors of 6085 and 6104 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 6104

Prime factors of 6104 are 2, 7, 109. Prime factorization of 6104 in exponential form is:

6104 = 2³ × 7¹ × 109¹

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 6104

List of positive integer factors of 6104 that divides 6085 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6085 and 6104. The biggest common factor number is the GCF number.
So the greatest common factor 6085 and 6104 is 1.

Also check out the Least Common Multiple of 6085 and 6104