What is the Greatest Common Factor of 3600 and 3616?

Greatest common factor (GCF) of 3600 and 3616 is 16.

GCF(3600,3616) = 16

We will now calculate the prime factors of 3600 and 3616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3600 and 3616.

How to find the GCF of 3600 and 3616?

We will first find the prime factorization of 3600 and 3616. After we will calculate the factors of 3600 and 3616 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 3616

Prime factors of 3616 are 2, 113. Prime factorization of 3616 in exponential form is:

3616 = 2⁵ × 113¹

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 3616

List of positive integer factors of 3616 that divides 3600 without a remainder.

1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3600 and 3616. The biggest common factor number is the GCF number.
So the greatest common factor 3600 and 3616 is 16.

Also check out the Least Common Multiple of 3600 and 3616