What is the Greatest Common Factor of 32582 and 32598?

Greatest common factor (GCF) of 32582 and 32598 is 2.

GCF(32582,32598) = 2

We will now calculate the prime factors of 32582 and 32598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32582 and 32598.

How to find the GCF of 32582 and 32598?

We will first find the prime factorization of 32582 and 32598. After we will calculate the factors of 32582 and 32598 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 32598

Prime factors of 32598 are 2, 3, 1811. Prime factorization of 32598 in exponential form is:

32598 = 2¹ × 3² × 1811¹

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 32598

List of positive integer factors of 32598 that divides 32582 without a remainder.

1, 2, 3, 6, 9, 18, 1811, 3622, 5433, 10866, 16299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32582 and 32598. The biggest common factor number is the GCF number.
So the greatest common factor 32582 and 32598 is 2.

Also check out the Least Common Multiple of 32582 and 32598