What is the Greatest Common Factor of 32589 and 32609?

Greatest common factor (GCF) of 32589 and 32609 is 1.

GCF(32589,32609) = 1

We will now calculate the prime factors of 32589 and 32609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32589 and 32609.

How to find the GCF of 32589 and 32609?

We will first find the prime factorization of 32589 and 32609. After we will calculate the factors of 32589 and 32609 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 32609

Prime factors of 32609 are 32609. Prime factorization of 32609 in exponential form is:

32609 = 32609¹

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 32609

List of positive integer factors of 32609 that divides 32589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32589 and 32609. The biggest common factor number is the GCF number.
So the greatest common factor 32589 and 32609 is 1.

Also check out the Least Common Multiple of 32589 and 32609