What is the Greatest Common Factor of 3600 and 3612?

Greatest common factor (GCF) of 3600 and 3612 is 12.

GCF(3600,3612) = 12

We will now calculate the prime factors of 3600 and 3612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3600 and 3612.

How to find the GCF of 3600 and 3612?

We will first find the prime factorization of 3600 and 3612. After we will calculate the factors of 3600 and 3612 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 3612

Prime factors of 3612 are 2, 3, 7, 43. Prime factorization of 3612 in exponential form is:

3612 = 2² × 3¹ × 7¹ × 43¹

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 3612

List of positive integer factors of 3612 that divides 3600 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3600 and 3612. The biggest common factor number is the GCF number.
So the greatest common factor 3600 and 3612 is 12.

Also check out the Least Common Multiple of 3600 and 3612