What is the Greatest Common Factor of 17082 and 17100?

Greatest common factor (GCF) of 17082 and 17100 is 18.

GCF(17082,17100) = 18

We will now calculate the prime factors of 17082 and 17100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17082 and 17100.

How to find the GCF of 17082 and 17100?

We will first find the prime factorization of 17082 and 17100. After we will calculate the factors of 17082 and 17100 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 17100

Prime factors of 17100 are 2, 3, 5, 19. Prime factorization of 17100 in exponential form is:

17100 = 2² × 3² × 5² × 19¹

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 17100

List of positive integer factors of 17100 that divides 17082 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 25, 30, 36, 38, 45, 50, 57, 60, 75, 76, 90, 95, 100, 114, 150, 171, 180, 190, 225, 228, 285, 300, 342, 380, 450, 475, 570, 684, 855, 900, 950, 1140, 1425, 1710, 1900, 2850, 3420, 4275, 5700, 8550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17082 and 17100. The biggest common factor number is the GCF number.
So the greatest common factor 17082 and 17100 is 18.

Also check out the Least Common Multiple of 17082 and 17100