What is the Greatest Common Factor of 99584 and 99600?

Greatest common factor (GCF) of 99584 and 99600 is 16.

GCF(99584,99600) = 16

We will now calculate the prime factors of 99584 and 99600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99584 and 99600.

How to find the GCF of 99584 and 99600?

We will first find the prime factorization of 99584 and 99600. After we will calculate the factors of 99584 and 99600 and find the biggest common factor number .

Step-1: Prime Factorization of 99584

Prime factors of 99584 are 2, 389. Prime factorization of 99584 in exponential form is:

99584 = 2⁸ × 389¹

Step-2: Prime Factorization of 99600

Prime factors of 99600 are 2, 3, 5, 83. Prime factorization of 99600 in exponential form is:

99600 = 2⁴ × 3¹ × 5² × 83¹

Step-3: Factors of 99584

List of positive integer factors of 99584 that divides 99584 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 389, 778, 1556, 3112, 6224, 12448, 24896, 49792

Step-4: Factors of 99600

List of positive integer factors of 99600 that divides 99584 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 83, 100, 120, 150, 166, 200, 240, 249, 300, 332, 400, 415, 498, 600, 664, 830, 996, 1200, 1245, 1328, 1660, 1992, 2075, 2490, 3320, 3984, 4150, 4980, 6225, 6640, 8300, 9960, 12450, 16600, 19920, 24900, 33200, 49800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99584 and 99600. The biggest common factor number is the GCF number.
So the greatest common factor 99584 and 99600 is 16.

Also check out the Least Common Multiple of 99584 and 99600