What is the Greatest Common Factor of 66585 and 66600?

Greatest common factor (GCF) of 66585 and 66600 is 15.

GCF(66585,66600) = 15

We will now calculate the prime factors of 66585 and 66600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66585 and 66600.

How to find the GCF of 66585 and 66600?

We will first find the prime factorization of 66585 and 66600. After we will calculate the factors of 66585 and 66600 and find the biggest common factor number .

Step-1: Prime Factorization of 66585

Prime factors of 66585 are 3, 5, 23, 193. Prime factorization of 66585 in exponential form is:

66585 = 3¹ × 5¹ × 23¹ × 193¹

Step-2: Prime Factorization of 66600

Prime factors of 66600 are 2, 3, 5, 37. Prime factorization of 66600 in exponential form is:

66600 = 2³ × 3² × 5² × 37¹

Step-3: Factors of 66585

List of positive integer factors of 66585 that divides 66585 without a remainder.

1, 3, 5, 15, 23, 69, 115, 193, 345, 579, 965, 2895, 4439, 13317, 22195

Step-4: Factors of 66600

List of positive integer factors of 66600 that divides 66585 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 37, 40, 45, 50, 60, 72, 74, 75, 90, 100, 111, 120, 148, 150, 180, 185, 200, 222, 225, 296, 300, 333, 360, 370, 444, 450, 555, 600, 666, 740, 888, 900, 925, 1110, 1332, 1480, 1665, 1800, 1850, 2220, 2664, 2775, 3330, 3700, 4440, 5550, 6660, 7400, 8325, 11100, 13320, 16650, 22200, 33300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66585 and 66600. The biggest common factor number is the GCF number.
So the greatest common factor 66585 and 66600 is 15.

Also check out the Least Common Multiple of 66585 and 66600