What is the Greatest Common Factor of 17082 and 17089?

Greatest common factor (GCF) of 17082 and 17089 is 1.

GCF(17082,17089) = 1

We will now calculate the prime factors of 17082 and 17089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17082 and 17089.

How to find the GCF of 17082 and 17089?

We will first find the prime factorization of 17082 and 17089. After we will calculate the factors of 17082 and 17089 and find the biggest common factor number .

Step-1: Prime Factorization of 17082

Prime factors of 17082 are 2, 3, 13, 73. Prime factorization of 17082 in exponential form is:

17082 = 2¹ × 3² × 13¹ × 73¹

Step-2: Prime Factorization of 17089

Prime factors of 17089 are 23, 743. Prime factorization of 17089 in exponential form is:

17089 = 23¹ × 743¹

Step-3: Factors of 17082

List of positive integer factors of 17082 that divides 17082 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 73, 78, 117, 146, 219, 234, 438, 657, 949, 1314, 1898, 2847, 5694, 8541

Step-4: Factors of 17089

List of positive integer factors of 17089 that divides 17082 without a remainder.

1, 23, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17082 and 17089. The biggest common factor number is the GCF number.
So the greatest common factor 17082 and 17089 is 1.

Also check out the Least Common Multiple of 17082 and 17089