What is the Greatest Common Factor of 33573 and 33579?

Greatest common factor (GCF) of 33573 and 33579 is 3.

GCF(33573,33579) = 3

We will now calculate the prime factors of 33573 and 33579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33573 and 33579.

How to find the GCF of 33573 and 33579?

We will first find the prime factorization of 33573 and 33579. After we will calculate the factors of 33573 and 33579 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 33579

Prime factors of 33579 are 3, 7, 13, 41. Prime factorization of 33579 in exponential form is:

33579 = 3² × 7¹ × 13¹ × 41¹

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 33579

List of positive integer factors of 33579 that divides 33573 without a remainder.

1, 3, 7, 9, 13, 21, 39, 41, 63, 91, 117, 123, 273, 287, 369, 533, 819, 861, 1599, 2583, 3731, 4797, 11193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33573 and 33579. The biggest common factor number is the GCF number.
So the greatest common factor 33573 and 33579 is 3.

Also check out the Least Common Multiple of 33573 and 33579