What is the Greatest Common Factor of 28512 and 28524?

Greatest common factor (GCF) of 28512 and 28524 is 12.

GCF(28512,28524) = 12

We will now calculate the prime factors of 28512 and 28524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28512 and 28524.

How to find the GCF of 28512 and 28524?

We will first find the prime factorization of 28512 and 28524. After we will calculate the factors of 28512 and 28524 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 28524

Prime factors of 28524 are 2, 3, 2377. Prime factorization of 28524 in exponential form is:

28524 = 2² × 3¹ × 2377¹

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 28524

List of positive integer factors of 28524 that divides 28512 without a remainder.

1, 2, 3, 4, 6, 12, 2377, 4754, 7131, 9508, 14262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28512 and 28524. The biggest common factor number is the GCF number.
So the greatest common factor 28512 and 28524 is 12.

Also check out the Least Common Multiple of 28512 and 28524