What is the Greatest Common Factor of 32577 and 32589?

Greatest common factor (GCF) of 32577 and 32589 is 3.

GCF(32577,32589) = 3

We will now calculate the prime factors of 32577 and 32589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32577 and 32589.

How to find the GCF of 32577 and 32589?

We will first find the prime factorization of 32577 and 32589. After we will calculate the factors of 32577 and 32589 and find the biggest common factor number .

Step-1: Prime Factorization of 32577

Prime factors of 32577 are 3, 10859. Prime factorization of 32577 in exponential form is:

32577 = 3¹ × 10859¹

Step-2: 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-3: Factors of 32577

List of positive integer factors of 32577 that divides 32577 without a remainder.

1, 3, 10859

Step-4: Factors of 32589

List of positive integer factors of 32589 that divides 32577 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32577 and 32589. The biggest common factor number is the GCF number.
So the greatest common factor 32577 and 32589 is 3.

Also check out the Least Common Multiple of 32577 and 32589