What is the Greatest Common Factor of 28512 and 28521?

Greatest common factor (GCF) of 28512 and 28521 is 9.

GCF(28512,28521) = 9

We will now calculate the prime factors of 28512 and 28521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28512 and 28521.

How to find the GCF of 28512 and 28521?

We will first find the prime factorization of 28512 and 28521. After we will calculate the factors of 28512 and 28521 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 28521

Prime factors of 28521 are 3, 3169. Prime factorization of 28521 in exponential form is:

28521 = 3² × 3169¹

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 28521

List of positive integer factors of 28521 that divides 28512 without a remainder.

1, 3, 9, 3169, 9507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28512 and 28521. The biggest common factor number is the GCF number.
So the greatest common factor 28512 and 28521 is 9.

Also check out the Least Common Multiple of 28512 and 28521