What is the Greatest Common Factor of 3585 and 3594?

Greatest common factor (GCF) of 3585 and 3594 is 3.

GCF(3585,3594) = 3

We will now calculate the prime factors of 3585 and 3594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3585 and 3594.

How to find the GCF of 3585 and 3594?

We will first find the prime factorization of 3585 and 3594. After we will calculate the factors of 3585 and 3594 and find the biggest common factor number .

Step-1: Prime Factorization of 3585

Prime factors of 3585 are 3, 5, 239. Prime factorization of 3585 in exponential form is:

3585 = 3¹ × 5¹ × 239¹

Step-2: Prime Factorization of 3594

Prime factors of 3594 are 2, 3, 599. Prime factorization of 3594 in exponential form is:

3594 = 2¹ × 3¹ × 599¹

Step-3: Factors of 3585

List of positive integer factors of 3585 that divides 3585 without a remainder.

1, 3, 5, 15, 239, 717, 1195

Step-4: Factors of 3594

List of positive integer factors of 3594 that divides 3585 without a remainder.

1, 2, 3, 6, 599, 1198, 1797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3585 and 3594. The biggest common factor number is the GCF number.
So the greatest common factor 3585 and 3594 is 3.

Also check out the Least Common Multiple of 3585 and 3594