What is the Greatest Common Factor of 73785 and 73800?

Greatest common factor (GCF) of 73785 and 73800 is 15.

GCF(73785,73800) = 15

We will now calculate the prime factors of 73785 and 73800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73785 and 73800.

How to find the GCF of 73785 and 73800?

We will first find the prime factorization of 73785 and 73800. After we will calculate the factors of 73785 and 73800 and find the biggest common factor number .

Step-1: Prime Factorization of 73785

Prime factors of 73785 are 3, 5, 4919. Prime factorization of 73785 in exponential form is:

73785 = 3¹ × 5¹ × 4919¹

Step-2: Prime Factorization of 73800

Prime factors of 73800 are 2, 3, 5, 41. Prime factorization of 73800 in exponential form is:

73800 = 2³ × 3² × 5² × 41¹

Step-3: Factors of 73785

List of positive integer factors of 73785 that divides 73785 without a remainder.

1, 3, 5, 15, 4919, 14757, 24595

Step-4: Factors of 73800

List of positive integer factors of 73800 that divides 73785 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 41, 45, 50, 60, 72, 75, 82, 90, 100, 120, 123, 150, 164, 180, 200, 205, 225, 246, 300, 328, 360, 369, 410, 450, 492, 600, 615, 738, 820, 900, 984, 1025, 1230, 1476, 1640, 1800, 1845, 2050, 2460, 2952, 3075, 3690, 4100, 4920, 6150, 7380, 8200, 9225, 12300, 14760, 18450, 24600, 36900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73785 and 73800. The biggest common factor number is the GCF number.
So the greatest common factor 73785 and 73800 is 15.

Also check out the Least Common Multiple of 73785 and 73800