What is the Greatest Common Factor of 99600 and 99616?

Greatest common factor (GCF) of 99600 and 99616 is 16.

GCF(99600,99616) = 16

We will now calculate the prime factors of 99600 and 99616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99600 and 99616.

How to find the GCF of 99600 and 99616?

We will first find the prime factorization of 99600 and 99616. After we will calculate the factors of 99600 and 99616 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99616

Prime factors of 99616 are 2, 11, 283. Prime factorization of 99616 in exponential form is:

99616 = 2⁵ × 11¹ × 283¹

Step-3: Factors of 99600

List of positive integer factors of 99600 that divides 99600 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

Step-4: Factors of 99616

List of positive integer factors of 99616 that divides 99600 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 283, 352, 566, 1132, 2264, 3113, 4528, 6226, 9056, 12452, 24904, 49808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99600 and 99616. The biggest common factor number is the GCF number.
So the greatest common factor 99600 and 99616 is 16.

Also check out the Least Common Multiple of 99600 and 99616