What is the Greatest Common Factor of 33594 and 33609?

Greatest common factor (GCF) of 33594 and 33609 is 3.

GCF(33594,33609) = 3

We will now calculate the prime factors of 33594 and 33609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33594 and 33609.

How to find the GCF of 33594 and 33609?

We will first find the prime factorization of 33594 and 33609. After we will calculate the factors of 33594 and 33609 and find the biggest common factor number .

Step-1: Prime Factorization of 33594

Prime factors of 33594 are 2, 3, 11, 509. Prime factorization of 33594 in exponential form is:

33594 = 2¹ × 3¹ × 11¹ × 509¹

Step-2: Prime Factorization of 33609

Prime factors of 33609 are 3, 17, 659. Prime factorization of 33609 in exponential form is:

33609 = 3¹ × 17¹ × 659¹

Step-3: Factors of 33594

List of positive integer factors of 33594 that divides 33594 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 509, 1018, 1527, 3054, 5599, 11198, 16797

Step-4: Factors of 33609

List of positive integer factors of 33609 that divides 33594 without a remainder.

1, 3, 17, 51, 659, 1977, 11203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33594 and 33609. The biggest common factor number is the GCF number.
So the greatest common factor 33594 and 33609 is 3.

Also check out the Least Common Multiple of 33594 and 33609