What is the Greatest Common Factor of 28875 and 28893?

Greatest common factor (GCF) of 28875 and 28893 is 3.

GCF(28875,28893) = 3

We will now calculate the prime factors of 28875 and 28893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28875 and 28893.

How to find the GCF of 28875 and 28893?

We will first find the prime factorization of 28875 and 28893. After we will calculate the factors of 28875 and 28893 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 28893

Prime factors of 28893 are 3, 9631. Prime factorization of 28893 in exponential form is:

28893 = 3¹ × 9631¹

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 28893

List of positive integer factors of 28893 that divides 28875 without a remainder.

1, 3, 9631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28875 and 28893. The biggest common factor number is the GCF number.
So the greatest common factor 28875 and 28893 is 3.

Also check out the Least Common Multiple of 28875 and 28893