What is the Greatest Common Factor of 17100 and 17118?

Greatest common factor (GCF) of 17100 and 17118 is 18.

GCF(17100,17118) = 18

We will now calculate the prime factors of 17100 and 17118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17100 and 17118.

How to find the GCF of 17100 and 17118?

We will first find the prime factorization of 17100 and 17118. After we will calculate the factors of 17100 and 17118 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17118

Prime factors of 17118 are 2, 3, 317. Prime factorization of 17118 in exponential form is:

17118 = 2¹ × 3³ × 317¹

Step-3: Factors of 17100

List of positive integer factors of 17100 that divides 17100 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

Step-4: Factors of 17118

List of positive integer factors of 17118 that divides 17100 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 317, 634, 951, 1902, 2853, 5706, 8559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17100 and 17118. The biggest common factor number is the GCF number.
So the greatest common factor 17100 and 17118 is 18.

Also check out the Least Common Multiple of 17100 and 17118