What is the Greatest Common Factor of 45600 and 45618?

Greatest common factor (GCF) of 45600 and 45618 is 6.

GCF(45600,45618) = 6

We will now calculate the prime factors of 45600 and 45618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45600 and 45618.

How to find the GCF of 45600 and 45618?

We will first find the prime factorization of 45600 and 45618. After we will calculate the factors of 45600 and 45618 and find the biggest common factor number .

Step-1: Prime Factorization of 45600

Prime factors of 45600 are 2, 3, 5, 19. Prime factorization of 45600 in exponential form is:

45600 = 2⁵ × 3¹ × 5² × 19¹

Step-2: Prime Factorization of 45618

Prime factors of 45618 are 2, 3, 7603. Prime factorization of 45618 in exponential form is:

45618 = 2¹ × 3¹ × 7603¹

Step-3: Factors of 45600

List of positive integer factors of 45600 that divides 45600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 25, 30, 32, 38, 40, 48, 50, 57, 60, 75, 76, 80, 95, 96, 100, 114, 120, 150, 152, 160, 190, 200, 228, 240, 285, 300, 304, 380, 400, 456, 475, 480, 570, 600, 608, 760, 800, 912, 950, 1140, 1200, 1425, 1520, 1824, 1900, 2280, 2400, 2850, 3040, 3800, 4560, 5700, 7600, 9120, 11400, 15200, 22800

Step-4: Factors of 45618

List of positive integer factors of 45618 that divides 45600 without a remainder.

1, 2, 3, 6, 7603, 15206, 22809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45600 and 45618. The biggest common factor number is the GCF number.
So the greatest common factor 45600 and 45618 is 6.

Also check out the Least Common Multiple of 45600 and 45618