What is the Greatest Common Factor of 96585 and 96600?

Greatest common factor (GCF) of 96585 and 96600 is 15.

GCF(96585,96600) = 15

We will now calculate the prime factors of 96585 and 96600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96585 and 96600.

How to find the GCF of 96585 and 96600?

We will first find the prime factorization of 96585 and 96600. After we will calculate the factors of 96585 and 96600 and find the biggest common factor number .

Step-1: Prime Factorization of 96585

Prime factors of 96585 are 3, 5, 47, 137. Prime factorization of 96585 in exponential form is:

96585 = 3¹ × 5¹ × 47¹ × 137¹

Step-2: Prime Factorization of 96600

Prime factors of 96600 are 2, 3, 5, 7, 23. Prime factorization of 96600 in exponential form is:

96600 = 2³ × 3¹ × 5² × 7¹ × 23¹

Step-3: Factors of 96585

List of positive integer factors of 96585 that divides 96585 without a remainder.

1, 3, 5, 15, 47, 137, 141, 235, 411, 685, 705, 2055, 6439, 19317, 32195

Step-4: Factors of 96600

List of positive integer factors of 96600 that divides 96585 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 23, 24, 25, 28, 30, 35, 40, 42, 46, 50, 56, 60, 69, 70, 75, 84, 92, 100, 105, 115, 120, 138, 140, 150, 161, 168, 175, 184, 200, 210, 230, 276, 280, 300, 322, 345, 350, 420, 460, 483, 525, 552, 575, 600, 644, 690, 700, 805, 840, 920, 966, 1050, 1150, 1288, 1380, 1400, 1610, 1725, 1932, 2100, 2300, 2415, 2760, 3220, 3450, 3864, 4025, 4200, 4600, 4830, 6440, 6900, 8050, 9660, 12075, 13800, 16100, 19320, 24150, 32200, 48300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96585 and 96600. The biggest common factor number is the GCF number.
So the greatest common factor 96585 and 96600 is 15.

Also check out the Least Common Multiple of 96585 and 96600