What is the Greatest Common Factor of 99600 and 99618?

Greatest common factor (GCF) of 99600 and 99618 is 6.

GCF(99600,99618) = 6

We will now calculate the prime factors of 99600 and 99618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99600 and 99618.

How to find the GCF of 99600 and 99618?

We will first find the prime factorization of 99600 and 99618. After we will calculate the factors of 99600 and 99618 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 99618

Prime factors of 99618 are 2, 3, 16603. Prime factorization of 99618 in exponential form is:

99618 = 2¹ × 3¹ × 16603¹

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 99618

List of positive integer factors of 99618 that divides 99600 without a remainder.

1, 2, 3, 6, 16603, 33206, 49809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99600 and 99618. The biggest common factor number is the GCF number.
So the greatest common factor 99600 and 99618 is 6.

Also check out the Least Common Multiple of 99600 and 99618