What is the Greatest Common Factor of 3585 and 3595?

Greatest common factor (GCF) of 3585 and 3595 is 5.

GCF(3585,3595) = 5

We will now calculate the prime factors of 3585 and 3595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3585 and 3595.

How to find the GCF of 3585 and 3595?

We will first find the prime factorization of 3585 and 3595. After we will calculate the factors of 3585 and 3595 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 3595

Prime factors of 3595 are 5, 719. Prime factorization of 3595 in exponential form is:

3595 = 5¹ × 719¹

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 3595

List of positive integer factors of 3595 that divides 3585 without a remainder.

1, 5, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3585 and 3595. The biggest common factor number is the GCF number.
So the greatest common factor 3585 and 3595 is 5.

Also check out the Least Common Multiple of 3585 and 3595