What is the Greatest Common Factor of 33579 and 33597?

Greatest common factor (GCF) of 33579 and 33597 is 9.

GCF(33579,33597) = 9

We will now calculate the prime factors of 33579 and 33597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33579 and 33597.

How to find the GCF of 33579 and 33597?

We will first find the prime factorization of 33579 and 33597. After we will calculate the factors of 33579 and 33597 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33597

Prime factors of 33597 are 3, 3733. Prime factorization of 33597 in exponential form is:

33597 = 3² × 3733¹

Step-3: Factors of 33579

List of positive integer factors of 33579 that divides 33579 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

Step-4: Factors of 33597

List of positive integer factors of 33597 that divides 33579 without a remainder.

1, 3, 9, 3733, 11199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33579 and 33597. The biggest common factor number is the GCF number.
So the greatest common factor 33579 and 33597 is 9.

Also check out the Least Common Multiple of 33579 and 33597