What is the Greatest Common Factor of 28589 and 28608?

Greatest common factor (GCF) of 28589 and 28608 is 1.

GCF(28589,28608) = 1

We will now calculate the prime factors of 28589 and 28608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28589 and 28608.

How to find the GCF of 28589 and 28608?

We will first find the prime factorization of 28589 and 28608. After we will calculate the factors of 28589 and 28608 and find the biggest common factor number .

Step-1: Prime Factorization of 28589

Prime factors of 28589 are 11, 23, 113. Prime factorization of 28589 in exponential form is:

28589 = 11¹ × 23¹ × 113¹

Step-2: Prime Factorization of 28608

Prime factors of 28608 are 2, 3, 149. Prime factorization of 28608 in exponential form is:

28608 = 2⁶ × 3¹ × 149¹

Step-3: Factors of 28589

List of positive integer factors of 28589 that divides 28589 without a remainder.

1, 11, 23, 113, 253, 1243, 2599

Step-4: Factors of 28608

List of positive integer factors of 28608 that divides 28589 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 149, 192, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 4768, 7152, 9536, 14304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28589 and 28608. The biggest common factor number is the GCF number.
So the greatest common factor 28589 and 28608 is 1.

Also check out the Least Common Multiple of 28589 and 28608