What is the Greatest Common Factor of 32589 and 32608?

Greatest common factor (GCF) of 32589 and 32608 is 1.

GCF(32589,32608) = 1

We will now calculate the prime factors of 32589 and 32608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32589 and 32608.

How to find the GCF of 32589 and 32608?

We will first find the prime factorization of 32589 and 32608. After we will calculate the factors of 32589 and 32608 and find the biggest common factor number .

Step-1: Prime Factorization of 32589

Prime factors of 32589 are 3, 17, 71. Prime factorization of 32589 in exponential form is:

32589 = 3³ × 17¹ × 71¹

Step-2: Prime Factorization of 32608

Prime factors of 32608 are 2, 1019. Prime factorization of 32608 in exponential form is:

32608 = 2⁵ × 1019¹

Step-3: Factors of 32589

List of positive integer factors of 32589 that divides 32589 without a remainder.

1, 3, 9, 17, 27, 51, 71, 153, 213, 459, 639, 1207, 1917, 3621, 10863

Step-4: Factors of 32608

List of positive integer factors of 32608 that divides 32589 without a remainder.

1, 2, 4, 8, 16, 32, 1019, 2038, 4076, 8152, 16304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32589 and 32608. The biggest common factor number is the GCF number.
So the greatest common factor 32589 and 32608 is 1.

Also check out the Least Common Multiple of 32589 and 32608