What is the Greatest Common Factor of 33573 and 33582?

Greatest common factor (GCF) of 33573 and 33582 is 3.

GCF(33573,33582) = 3

We will now calculate the prime factors of 33573 and 33582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33573 and 33582.

How to find the GCF of 33573 and 33582?

We will first find the prime factorization of 33573 and 33582. After we will calculate the factors of 33573 and 33582 and find the biggest common factor number .

Step-1: Prime Factorization of 33573

Prime factors of 33573 are 3, 19, 31. Prime factorization of 33573 in exponential form is:

33573 = 3¹ × 19² × 31¹

Step-2: Prime Factorization of 33582

Prime factors of 33582 are 2, 3, 29, 193. Prime factorization of 33582 in exponential form is:

33582 = 2¹ × 3¹ × 29¹ × 193¹

Step-3: Factors of 33573

List of positive integer factors of 33573 that divides 33573 without a remainder.

1, 3, 19, 31, 57, 93, 361, 589, 1083, 1767, 11191

Step-4: Factors of 33582

List of positive integer factors of 33582 that divides 33573 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 193, 386, 579, 1158, 5597, 11194, 16791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33573 and 33582. The biggest common factor number is the GCF number.
So the greatest common factor 33573 and 33582 is 3.

Also check out the Least Common Multiple of 33573 and 33582