What is the Greatest Common Factor of 3585 and 3604?

Greatest common factor (GCF) of 3585 and 3604 is 1.

GCF(3585,3604) = 1

We will now calculate the prime factors of 3585 and 3604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3585 and 3604.

How to find the GCF of 3585 and 3604?

We will first find the prime factorization of 3585 and 3604. After we will calculate the factors of 3585 and 3604 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 3604

Prime factors of 3604 are 2, 17, 53. Prime factorization of 3604 in exponential form is:

3604 = 2² × 17¹ × 53¹

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 3604

List of positive integer factors of 3604 that divides 3585 without a remainder.

1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3585 and 3604. The biggest common factor number is the GCF number.
So the greatest common factor 3585 and 3604 is 1.

Also check out the Least Common Multiple of 3585 and 3604