What is the Greatest Common Factor of 17082 and 17102?

Greatest common factor (GCF) of 17082 and 17102 is 2.

GCF(17082,17102) = 2

We will now calculate the prime factors of 17082 and 17102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17082 and 17102.

How to find the GCF of 17082 and 17102?

We will first find the prime factorization of 17082 and 17102. After we will calculate the factors of 17082 and 17102 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 17102

Prime factors of 17102 are 2, 17, 503. Prime factorization of 17102 in exponential form is:

17102 = 2¹ × 17¹ × 503¹

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 17102

List of positive integer factors of 17102 that divides 17082 without a remainder.

1, 2, 17, 34, 503, 1006, 8551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17082 and 17102. The biggest common factor number is the GCF number.
So the greatest common factor 17082 and 17102 is 2.

Also check out the Least Common Multiple of 17082 and 17102