What is the Greatest Common Factor of 28500 and 28512?

Greatest common factor (GCF) of 28500 and 28512 is 12.

GCF(28500,28512) = 12

We will now calculate the prime factors of 28500 and 28512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28500 and 28512.

How to find the GCF of 28500 and 28512?

We will first find the prime factorization of 28500 and 28512. After we will calculate the factors of 28500 and 28512 and find the biggest common factor number .

Step-1: Prime Factorization of 28500

Prime factors of 28500 are 2, 3, 5, 19. Prime factorization of 28500 in exponential form is:

28500 = 2² × 3¹ × 5³ × 19¹

Step-2: Prime Factorization of 28512

Prime factors of 28512 are 2, 3, 11. Prime factorization of 28512 in exponential form is:

28512 = 2⁵ × 3⁴ × 11¹

Step-3: Factors of 28500

List of positive integer factors of 28500 that divides 28500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 125, 150, 190, 228, 250, 285, 300, 375, 380, 475, 500, 570, 750, 950, 1140, 1425, 1500, 1900, 2375, 2850, 4750, 5700, 7125, 9500, 14250

Step-4: Factors of 28512

List of positive integer factors of 28512 that divides 28500 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 198, 216, 264, 288, 297, 324, 352, 396, 432, 528, 594, 648, 792, 864, 891, 1056, 1188, 1296, 1584, 1782, 2376, 2592, 3168, 3564, 4752, 7128, 9504, 14256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28500 and 28512. The biggest common factor number is the GCF number.
So the greatest common factor 28500 and 28512 is 12.

Also check out the Least Common Multiple of 28500 and 28512