What is the Greatest Common Factor of 96600 and 96604?

Greatest common factor (GCF) of 96600 and 96604 is 4.

GCF(96600,96604) = 4

We will now calculate the prime factors of 96600 and 96604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96600 and 96604.

How to find the GCF of 96600 and 96604?

We will first find the prime factorization of 96600 and 96604. After we will calculate the factors of 96600 and 96604 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 96604

Prime factors of 96604 are 2, 24151. Prime factorization of 96604 in exponential form is:

96604 = 2² × 24151¹

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 96604

List of positive integer factors of 96604 that divides 96600 without a remainder.

1, 2, 4, 24151, 48302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96600 and 96604. The biggest common factor number is the GCF number.
So the greatest common factor 96600 and 96604 is 4.

Also check out the Least Common Multiple of 96600 and 96604