What is the Greatest Common Factor of 28589 and 28599?

Greatest common factor (GCF) of 28589 and 28599 is 1.

GCF(28589,28599) = 1

We will now calculate the prime factors of 28589 and 28599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28589 and 28599.

How to find the GCF of 28589 and 28599?

We will first find the prime factorization of 28589 and 28599. After we will calculate the factors of 28589 and 28599 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 28599

Prime factors of 28599 are 3, 9533. Prime factorization of 28599 in exponential form is:

28599 = 3¹ × 9533¹

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 28599

List of positive integer factors of 28599 that divides 28589 without a remainder.

1, 3, 9533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28589 and 28599. The biggest common factor number is the GCF number.
So the greatest common factor 28589 and 28599 is 1.

Also check out the Least Common Multiple of 28589 and 28599