What is the Greatest Common Factor of 3600 and 3609?

Greatest common factor (GCF) of 3600 and 3609 is 9.

GCF(3600,3609) = 9

We will now calculate the prime factors of 3600 and 3609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3600 and 3609.

How to find the GCF of 3600 and 3609?

We will first find the prime factorization of 3600 and 3609. After we will calculate the factors of 3600 and 3609 and find the biggest common factor number .

Step-1: Prime Factorization of 3600

Prime factors of 3600 are 2, 3, 5. Prime factorization of 3600 in exponential form is:

3600 = 2⁴ × 3² × 5²

Step-2: Prime Factorization of 3609

Prime factors of 3609 are 3, 401. Prime factorization of 3609 in exponential form is:

3609 = 3² × 401¹

Step-3: Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800

Step-4: Factors of 3609

List of positive integer factors of 3609 that divides 3600 without a remainder.

1, 3, 9, 401, 1203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3600 and 3609. The biggest common factor number is the GCF number.
So the greatest common factor 3600 and 3609 is 9.

Also check out the Least Common Multiple of 3600 and 3609