What is the Greatest Common Factor of 17100 and 17116?

Greatest common factor (GCF) of 17100 and 17116 is 4.

GCF(17100,17116) = 4

We will now calculate the prime factors of 17100 and 17116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17100 and 17116.

How to find the GCF of 17100 and 17116?

We will first find the prime factorization of 17100 and 17116. After we will calculate the factors of 17100 and 17116 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 17116

Prime factors of 17116 are 2, 11, 389. Prime factorization of 17116 in exponential form is:

17116 = 2² × 11¹ × 389¹

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 17116

List of positive integer factors of 17116 that divides 17100 without a remainder.

1, 2, 4, 11, 22, 44, 389, 778, 1556, 4279, 8558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17100 and 17116. The biggest common factor number is the GCF number.
So the greatest common factor 17100 and 17116 is 4.

Also check out the Least Common Multiple of 17100 and 17116