What is the Greatest Common Factor of 28875 and 28880?

Greatest common factor (GCF) of 28875 and 28880 is 5.

GCF(28875,28880) = 5

We will now calculate the prime factors of 28875 and 28880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28875 and 28880.

How to find the GCF of 28875 and 28880?

We will first find the prime factorization of 28875 and 28880. After we will calculate the factors of 28875 and 28880 and find the biggest common factor number .

Step-1: Prime Factorization of 28875

Prime factors of 28875 are 3, 5, 7, 11. Prime factorization of 28875 in exponential form is:

28875 = 3¹ × 5³ × 7¹ × 11¹

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 28875

List of positive integer factors of 28875 that divides 28875 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 125, 165, 175, 231, 275, 375, 385, 525, 825, 875, 1155, 1375, 1925, 2625, 4125, 5775, 9625

Step-4: Factors of 28880

List of positive integer factors of 28880 that divides 28875 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 28875 and 28880. The biggest common factor number is the GCF number.
So the greatest common factor 28875 and 28880 is 5.

Also check out the Least Common Multiple of 28875 and 28880