What is the Greatest Common Factor of 28512 and 28530?

Greatest common factor (GCF) of 28512 and 28530 is 18.

GCF(28512,28530) = 18

We will now calculate the prime factors of 28512 and 28530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28512 and 28530.

How to find the GCF of 28512 and 28530?

We will first find the prime factorization of 28512 and 28530. After we will calculate the factors of 28512 and 28530 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28530

Prime factors of 28530 are 2, 3, 5, 317. Prime factorization of 28530 in exponential form is:

28530 = 2¹ × 3² × 5¹ × 317¹

Step-3: Factors of 28512

List of positive integer factors of 28512 that divides 28512 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

Step-4: Factors of 28530

List of positive integer factors of 28530 that divides 28512 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 317, 634, 951, 1585, 1902, 2853, 3170, 4755, 5706, 9510, 14265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28512 and 28530. The biggest common factor number is the GCF number.
So the greatest common factor 28512 and 28530 is 18.

Also check out the Least Common Multiple of 28512 and 28530