What is the Greatest Common Factor of 66584 and 66600?

Greatest common factor (GCF) of 66584 and 66600 is 8.

GCF(66584,66600) = 8

We will now calculate the prime factors of 66584 and 66600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66584 and 66600.

How to find the GCF of 66584 and 66600?

We will first find the prime factorization of 66584 and 66600. After we will calculate the factors of 66584 and 66600 and find the biggest common factor number .

Step-1: Prime Factorization of 66584

Prime factors of 66584 are 2, 7, 29, 41. Prime factorization of 66584 in exponential form is:

66584 = 2³ × 7¹ × 29¹ × 41¹

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 66584

List of positive integer factors of 66584 that divides 66584 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 41, 56, 58, 82, 116, 164, 203, 232, 287, 328, 406, 574, 812, 1148, 1189, 1624, 2296, 2378, 4756, 8323, 9512, 16646, 33292

Step-4: Factors of 66600

List of positive integer factors of 66600 that divides 66584 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 66584 and 66600. The biggest common factor number is the GCF number.
So the greatest common factor 66584 and 66600 is 8.

Also check out the Least Common Multiple of 66584 and 66600