What is the Greatest Common Factor of 28864 and 28880?

Greatest common factor (GCF) of 28864 and 28880 is 16.

GCF(28864,28880) = 16

We will now calculate the prime factors of 28864 and 28880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28864 and 28880.

How to find the GCF of 28864 and 28880?

We will first find the prime factorization of 28864 and 28880. After we will calculate the factors of 28864 and 28880 and find the biggest common factor number .

Step-1: Prime Factorization of 28864

Prime factors of 28864 are 2, 11, 41. Prime factorization of 28864 in exponential form is:

28864 = 2⁶ × 11¹ × 41¹

Step-2: Prime Factorization of 28880

Prime factors of 28880 are 2, 5, 19. Prime factorization of 28880 in exponential form is:

28880 = 2⁴ × 5¹ × 19²

Step-3: Factors of 28864

List of positive integer factors of 28864 that divides 28864 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 41, 44, 64, 82, 88, 164, 176, 328, 352, 451, 656, 704, 902, 1312, 1804, 2624, 3608, 7216, 14432

Step-4: Factors of 28880

List of positive integer factors of 28880 that divides 28864 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 361, 380, 722, 760, 1444, 1520, 1805, 2888, 3610, 5776, 7220, 14440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28864 and 28880. The biggest common factor number is the GCF number.
So the greatest common factor 28864 and 28880 is 16.

Also check out the Least Common Multiple of 28864 and 28880