What is the Greatest Common Factor of 17081 and 17100?

Greatest common factor (GCF) of 17081 and 17100 is 19.

GCF(17081,17100) = 19

We will now calculate the prime factors of 17081 and 17100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17081 and 17100.

How to find the GCF of 17081 and 17100?

We will first find the prime factorization of 17081 and 17100. After we will calculate the factors of 17081 and 17100 and find the biggest common factor number .

Step-1: Prime Factorization of 17081

Prime factors of 17081 are 19, 29, 31. Prime factorization of 17081 in exponential form is:

17081 = 19¹ × 29¹ × 31¹

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 17081

List of positive integer factors of 17081 that divides 17081 without a remainder.

1, 19, 29, 31, 551, 589, 899

Step-4: Factors of 17100

List of positive integer factors of 17100 that divides 17081 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 17081 and 17100. The biggest common factor number is the GCF number.
So the greatest common factor 17081 and 17100 is 19.

Also check out the Least Common Multiple of 17081 and 17100