What is the Greatest Common Factor of 32582 and 32589?

Greatest common factor (GCF) of 32582 and 32589 is 1.

GCF(32582,32589) = 1

We will now calculate the prime factors of 32582 and 32589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32582 and 32589.

How to find the GCF of 32582 and 32589?

We will first find the prime factorization of 32582 and 32589. After we will calculate the factors of 32582 and 32589 and find the biggest common factor number .

Step-1: Prime Factorization of 32582

Prime factors of 32582 are 2, 11, 1481. Prime factorization of 32582 in exponential form is:

32582 = 2¹ × 11¹ × 1481¹

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 32582

List of positive integer factors of 32582 that divides 32582 without a remainder.

1, 2, 11, 22, 1481, 2962, 16291

Step-4: Factors of 32589

List of positive integer factors of 32589 that divides 32582 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 32582 and 32589. The biggest common factor number is the GCF number.
So the greatest common factor 32582 and 32589 is 1.

Also check out the Least Common Multiple of 32582 and 32589