What is the Greatest Common Factor of 28869 and 28875?

Greatest common factor (GCF) of 28869 and 28875 is 3.

GCF(28869,28875) = 3

We will now calculate the prime factors of 28869 and 28875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28869 and 28875.

How to find the GCF of 28869 and 28875?

We will first find the prime factorization of 28869 and 28875. After we will calculate the factors of 28869 and 28875 and find the biggest common factor number .

Step-1: Prime Factorization of 28869

Prime factors of 28869 are 3, 9623. Prime factorization of 28869 in exponential form is:

28869 = 3¹ × 9623¹

Step-2: 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-3: Factors of 28869

List of positive integer factors of 28869 that divides 28869 without a remainder.

1, 3, 9623

Step-4: Factors of 28875

List of positive integer factors of 28875 that divides 28869 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28869 and 28875. The biggest common factor number is the GCF number.
So the greatest common factor 28869 and 28875 is 3.

Also check out the Least Common Multiple of 28869 and 28875