What is the Greatest Common Factor of 17074 and 17085?

Greatest common factor (GCF) of 17074 and 17085 is 1.

GCF(17074,17085) = 1

We will now calculate the prime factors of 17074 and 17085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17074 and 17085.

How to find the GCF of 17074 and 17085?

We will first find the prime factorization of 17074 and 17085. After we will calculate the factors of 17074 and 17085 and find the biggest common factor number .

Step-1: Prime Factorization of 17074

Prime factors of 17074 are 2, 8537. Prime factorization of 17074 in exponential form is:

17074 = 2¹ × 8537¹

Step-2: 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-3: Factors of 17074

List of positive integer factors of 17074 that divides 17074 without a remainder.

1, 2, 8537

Step-4: Factors of 17085

List of positive integer factors of 17085 that divides 17074 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17074 and 17085. The biggest common factor number is the GCF number.
So the greatest common factor 17074 and 17085 is 1.

Also check out the Least Common Multiple of 17074 and 17085