What is the Greatest Common Factor of 28506 and 28512?

Greatest common factor (GCF) of 28506 and 28512 is 6.

GCF(28506,28512) = 6

We will now calculate the prime factors of 28506 and 28512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28506 and 28512.

How to find the GCF of 28506 and 28512?

We will first find the prime factorization of 28506 and 28512. After we will calculate the factors of 28506 and 28512 and find the biggest common factor number .

Step-1: Prime Factorization of 28506

Prime factors of 28506 are 2, 3, 4751. Prime factorization of 28506 in exponential form is:

28506 = 2¹ × 3¹ × 4751¹

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 28506

List of positive integer factors of 28506 that divides 28506 without a remainder.

1, 2, 3, 6, 4751, 9502, 14253

Step-4: Factors of 28512

List of positive integer factors of 28512 that divides 28506 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 28506 and 28512. The biggest common factor number is the GCF number.
So the greatest common factor 28506 and 28512 is 6.

Also check out the Least Common Multiple of 28506 and 28512