What is the Greatest Common Factor of 32598 and 32613?

Greatest common factor (GCF) of 32598 and 32613 is 3.

GCF(32598,32613) = 3

We will now calculate the prime factors of 32598 and 32613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32598 and 32613.

How to find the GCF of 32598 and 32613?

We will first find the prime factorization of 32598 and 32613. After we will calculate the factors of 32598 and 32613 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32613

Prime factors of 32613 are 3, 7, 1553. Prime factorization of 32613 in exponential form is:

32613 = 3¹ × 7¹ × 1553¹

Step-3: Factors of 32598

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

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

Step-4: Factors of 32613

List of positive integer factors of 32613 that divides 32598 without a remainder.

1, 3, 7, 21, 1553, 4659, 10871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32598 and 32613. The biggest common factor number is the GCF number.
So the greatest common factor 32598 and 32613 is 3.

Also check out the Least Common Multiple of 32598 and 32613