What is the Greatest Common Factor of 57600 and 57612?

Greatest common factor (GCF) of 57600 and 57612 is 12.

GCF(57600,57612) = 12

We will now calculate the prime factors of 57600 and 57612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57600 and 57612.

How to find the GCF of 57600 and 57612?

We will first find the prime factorization of 57600 and 57612. After we will calculate the factors of 57600 and 57612 and find the biggest common factor number .

Step-1: Prime Factorization of 57600

Prime factors of 57600 are 2, 3, 5. Prime factorization of 57600 in exponential form is:

57600 = 2⁸ × 3² × 5²

Step-2: Prime Factorization of 57612

Prime factors of 57612 are 2, 3, 4801. Prime factorization of 57612 in exponential form is:

57612 = 2² × 3¹ × 4801¹

Step-3: Factors of 57600

List of positive integer factors of 57600 that divides 57600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 64, 72, 75, 80, 90, 96, 100, 120, 128, 144, 150, 160, 180, 192, 200, 225, 240, 256, 288, 300, 320, 360, 384, 400, 450, 480, 576, 600, 640, 720, 768, 800, 900, 960, 1152, 1200, 1280, 1440, 1600, 1800, 1920, 2304, 2400, 2880, 3200, 3600, 3840, 4800, 5760, 6400, 7200, 9600, 11520, 14400, 19200, 28800

Step-4: Factors of 57612

List of positive integer factors of 57612 that divides 57600 without a remainder.

1, 2, 3, 4, 6, 12, 4801, 9602, 14403, 19204, 28806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57600 and 57612. The biggest common factor number is the GCF number.
So the greatest common factor 57600 and 57612 is 12.

Also check out the Least Common Multiple of 57600 and 57612