What is the Greatest Common Factor of 57600 and 57618?

Greatest common factor (GCF) of 57600 and 57618 is 18.

GCF(57600,57618) = 18

We will now calculate the prime factors of 57600 and 57618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57600 and 57618.

How to find the GCF of 57600 and 57618?

We will first find the prime factorization of 57600 and 57618. After we will calculate the factors of 57600 and 57618 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 57618

Prime factors of 57618 are 2, 3, 11, 97. Prime factorization of 57618 in exponential form is:

57618 = 2¹ × 3³ × 11¹ × 97¹

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 57618

List of positive integer factors of 57618 that divides 57600 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 97, 99, 194, 198, 291, 297, 582, 594, 873, 1067, 1746, 2134, 2619, 3201, 5238, 6402, 9603, 19206, 28809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57600 and 57618. The biggest common factor number is the GCF number.
So the greatest common factor 57600 and 57618 is 18.

Also check out the Least Common Multiple of 57600 and 57618