What is the Greatest Common Factor of 96600 and 96618?

Greatest common factor (GCF) of 96600 and 96618 is 6.

GCF(96600,96618) = 6

We will now calculate the prime factors of 96600 and 96618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96600 and 96618.

How to find the GCF of 96600 and 96618?

We will first find the prime factorization of 96600 and 96618. After we will calculate the factors of 96600 and 96618 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96618

Prime factors of 96618 are 2, 3, 16103. Prime factorization of 96618 in exponential form is:

96618 = 2¹ × 3¹ × 16103¹

Step-3: Factors of 96600

List of positive integer factors of 96600 that divides 96600 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

Step-4: Factors of 96618

List of positive integer factors of 96618 that divides 96600 without a remainder.

1, 2, 3, 6, 16103, 32206, 48309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96600 and 96618. The biggest common factor number is the GCF number.
So the greatest common factor 96600 and 96618 is 6.

Also check out the Least Common Multiple of 96600 and 96618