What is the Greatest Common Factor of 3585 and 3597?

Greatest common factor (GCF) of 3585 and 3597 is 3.

GCF(3585,3597) = 3

We will now calculate the prime factors of 3585 and 3597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3585 and 3597.

How to find the GCF of 3585 and 3597?

We will first find the prime factorization of 3585 and 3597. After we will calculate the factors of 3585 and 3597 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 3597

Prime factors of 3597 are 3, 11, 109. Prime factorization of 3597 in exponential form is:

3597 = 3¹ × 11¹ × 109¹

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 3597

List of positive integer factors of 3597 that divides 3585 without a remainder.

1, 3, 11, 33, 109, 327, 1199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3585 and 3597. The biggest common factor number is the GCF number.
So the greatest common factor 3585 and 3597 is 3.

Also check out the Least Common Multiple of 3585 and 3597