What is the Greatest Common Factor of 98385 and 98400?

Greatest common factor (GCF) of 98385 and 98400 is 15.

GCF(98385,98400) = 15

We will now calculate the prime factors of 98385 and 98400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98385 and 98400.

How to find the GCF of 98385 and 98400?

We will first find the prime factorization of 98385 and 98400. After we will calculate the factors of 98385 and 98400 and find the biggest common factor number .

Step-1: Prime Factorization of 98385

Prime factors of 98385 are 3, 5, 7, 937. Prime factorization of 98385 in exponential form is:

98385 = 3¹ × 5¹ × 7¹ × 937¹

Step-2: Prime Factorization of 98400

Prime factors of 98400 are 2, 3, 5, 41. Prime factorization of 98400 in exponential form is:

98400 = 2⁵ × 3¹ × 5² × 41¹

Step-3: Factors of 98385

List of positive integer factors of 98385 that divides 98385 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 937, 2811, 4685, 6559, 14055, 19677, 32795

Step-4: Factors of 98400

List of positive integer factors of 98400 that divides 98385 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 41, 48, 50, 60, 75, 80, 82, 96, 100, 120, 123, 150, 160, 164, 200, 205, 240, 246, 300, 328, 400, 410, 480, 492, 600, 615, 656, 800, 820, 984, 1025, 1200, 1230, 1312, 1640, 1968, 2050, 2400, 2460, 3075, 3280, 3936, 4100, 4920, 6150, 6560, 8200, 9840, 12300, 16400, 19680, 24600, 32800, 49200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98385 and 98400. The biggest common factor number is the GCF number.
So the greatest common factor 98385 and 98400 is 15.

Also check out the Least Common Multiple of 98385 and 98400