What is the Greatest Common Factor of 28507 and 28512?

Greatest common factor (GCF) of 28507 and 28512 is 1.

GCF(28507,28512) = 1

We will now calculate the prime factors of 28507 and 28512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28507 and 28512.

How to find the GCF of 28507 and 28512?

We will first find the prime factorization of 28507 and 28512. After we will calculate the factors of 28507 and 28512 and find the biggest common factor number .

Step-1: Prime Factorization of 28507

Prime factors of 28507 are 29, 983. Prime factorization of 28507 in exponential form is:

28507 = 29¹ × 983¹

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 28507

List of positive integer factors of 28507 that divides 28507 without a remainder.

1, 29, 983

Step-4: Factors of 28512

List of positive integer factors of 28512 that divides 28507 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 28507 and 28512. The biggest common factor number is the GCF number.
So the greatest common factor 28507 and 28512 is 1.

Also check out the Least Common Multiple of 28507 and 28512