What is the Greatest Common Factor of 17085 and 17095?

Greatest common factor (GCF) of 17085 and 17095 is 5.

GCF(17085,17095) = 5

We will now calculate the prime factors of 17085 and 17095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17085 and 17095.

How to find the GCF of 17085 and 17095?

We will first find the prime factorization of 17085 and 17095. After we will calculate the factors of 17085 and 17095 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 17095

Prime factors of 17095 are 5, 13, 263. Prime factorization of 17095 in exponential form is:

17095 = 5¹ × 13¹ × 263¹

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 17095

List of positive integer factors of 17095 that divides 17085 without a remainder.

1, 5, 13, 65, 263, 1315, 3419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17085 and 17095. The biggest common factor number is the GCF number.
So the greatest common factor 17085 and 17095 is 5.

Also check out the Least Common Multiple of 17085 and 17095