What is the Greatest Common Factor of 98400 and 98404?

Greatest common factor (GCF) of 98400 and 98404 is 4.

GCF(98400,98404) = 4

We will now calculate the prime factors of 98400 and 98404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98400 and 98404.

How to find the GCF of 98400 and 98404?

We will first find the prime factorization of 98400 and 98404. After we will calculate the factors of 98400 and 98404 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 98404

Prime factors of 98404 are 2, 73, 337. Prime factorization of 98404 in exponential form is:

98404 = 2² × 73¹ × 337¹

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 98404

List of positive integer factors of 98404 that divides 98400 without a remainder.

1, 2, 4, 73, 146, 292, 337, 674, 1348, 24601, 49202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98400 and 98404. The biggest common factor number is the GCF number.
So the greatest common factor 98400 and 98404 is 4.

Also check out the Least Common Multiple of 98400 and 98404