What is the Greatest Common Factor of 28885 and 28904?

Greatest common factor (GCF) of 28885 and 28904 is 1.

GCF(28885,28904) = 1

We will now calculate the prime factors of 28885 and 28904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28885 and 28904.

How to find the GCF of 28885 and 28904?

We will first find the prime factorization of 28885 and 28904. After we will calculate the factors of 28885 and 28904 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 28904

Prime factors of 28904 are 2, 3613. Prime factorization of 28904 in exponential form is:

28904 = 2³ × 3613¹

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 28904

List of positive integer factors of 28904 that divides 28885 without a remainder.

1, 2, 4, 8, 3613, 7226, 14452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28885 and 28904. The biggest common factor number is the GCF number.
So the greatest common factor 28885 and 28904 is 1.

Also check out the Least Common Multiple of 28885 and 28904