What is the Greatest Common Factor of 17082 and 17095?

Greatest common factor (GCF) of 17082 and 17095 is 13.

GCF(17082,17095) = 13

We will now calculate the prime factors of 17082 and 17095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17082 and 17095.

How to find the GCF of 17082 and 17095?

We will first find the prime factorization of 17082 and 17095. After we will calculate the factors of 17082 and 17095 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 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 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 17095

List of positive integer factors of 17095 that divides 17082 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17082 and 17095. The biggest common factor number is the GCF number.
So the greatest common factor 17082 and 17095 is 13.

Also check out the Least Common Multiple of 17082 and 17095