What is the Greatest Common Factor of 28875 and 28885?

Greatest common factor (GCF) of 28875 and 28885 is 5.

GCF(28875,28885) = 5

We will now calculate the prime factors of 28875 and 28885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28875 and 28885.

How to find the GCF of 28875 and 28885?

We will first find the prime factorization of 28875 and 28885. After we will calculate the factors of 28875 and 28885 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 28885

Prime factors of 28885 are 5, 53, 109. Prime factorization of 28885 in exponential form is:

28885 = 5¹ × 53¹ × 109¹

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 28885

List of positive integer factors of 28885 that divides 28875 without a remainder.

1, 5, 53, 109, 265, 545, 5777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28875 and 28885. The biggest common factor number is the GCF number.
So the greatest common factor 28875 and 28885 is 5.

Also check out the Least Common Multiple of 28875 and 28885