What is the Greatest Common Factor of 98400 and 98416?

Greatest common factor (GCF) of 98400 and 98416 is 16.

GCF(98400,98416) = 16

We will now calculate the prime factors of 98400 and 98416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98400 and 98416.

How to find the GCF of 98400 and 98416?

We will first find the prime factorization of 98400 and 98416. After we will calculate the factors of 98400 and 98416 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98416

Prime factors of 98416 are 2, 6151. Prime factorization of 98416 in exponential form is:

98416 = 2⁴ × 6151¹

Step-3: Factors of 98400

List of positive integer factors of 98400 that divides 98400 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

Step-4: Factors of 98416

List of positive integer factors of 98416 that divides 98400 without a remainder.

1, 2, 4, 8, 16, 6151, 12302, 24604, 49208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98400 and 98416. The biggest common factor number is the GCF number.
So the greatest common factor 98400 and 98416 is 16.

Also check out the Least Common Multiple of 98400 and 98416