What is the Greatest Common Factor of 28885 and 28895?

Greatest common factor (GCF) of 28885 and 28895 is 5.

GCF(28885,28895) = 5

We will now calculate the prime factors of 28885 and 28895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28885 and 28895.

How to find the GCF of 28885 and 28895?

We will first find the prime factorization of 28885 and 28895. After we will calculate the factors of 28885 and 28895 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28895

Prime factors of 28895 are 5, 5779. Prime factorization of 28895 in exponential form is:

28895 = 5¹ × 5779¹

Step-3: Factors of 28885

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

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

Step-4: Factors of 28895

List of positive integer factors of 28895 that divides 28885 without a remainder.

1, 5, 5779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28885 and 28895. The biggest common factor number is the GCF number.
So the greatest common factor 28885 and 28895 is 5.

Also check out the Least Common Multiple of 28885 and 28895