What is the Greatest Common Factor of 17085 and 17104?

Greatest common factor (GCF) of 17085 and 17104 is 1.

GCF(17085,17104) = 1

We will now calculate the prime factors of 17085 and 17104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17085 and 17104.

How to find the GCF of 17085 and 17104?

We will first find the prime factorization of 17085 and 17104. After we will calculate the factors of 17085 and 17104 and find the biggest common factor number .

Step-1: Prime Factorization of 17085

Prime factors of 17085 are 3, 5, 17, 67. Prime factorization of 17085 in exponential form is:

17085 = 3¹ × 5¹ × 17¹ × 67¹

Step-2: Prime Factorization of 17104

Prime factors of 17104 are 2, 1069. Prime factorization of 17104 in exponential form is:

17104 = 2⁴ × 1069¹

Step-3: Factors of 17085

List of positive integer factors of 17085 that divides 17085 without a remainder.

1, 3, 5, 15, 17, 51, 67, 85, 201, 255, 335, 1005, 1139, 3417, 5695

Step-4: Factors of 17104

List of positive integer factors of 17104 that divides 17085 without a remainder.

1, 2, 4, 8, 16, 1069, 2138, 4276, 8552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17085 and 17104. The biggest common factor number is the GCF number.
So the greatest common factor 17085 and 17104 is 1.

Also check out the Least Common Multiple of 17085 and 17104