What is the Greatest Common Factor of 96385 and 96400?

Greatest common factor (GCF) of 96385 and 96400 is 5.

GCF(96385,96400) = 5

We will now calculate the prime factors of 96385 and 96400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96385 and 96400.

How to find the GCF of 96385 and 96400?

We will first find the prime factorization of 96385 and 96400. After we will calculate the factors of 96385 and 96400 and find the biggest common factor number .

Step-1: Prime Factorization of 96385

Prime factors of 96385 are 5, 37, 521. Prime factorization of 96385 in exponential form is:

96385 = 5¹ × 37¹ × 521¹

Step-2: Prime Factorization of 96400

Prime factors of 96400 are 2, 5, 241. Prime factorization of 96400 in exponential form is:

96400 = 2⁴ × 5² × 241¹

Step-3: Factors of 96385

List of positive integer factors of 96385 that divides 96385 without a remainder.

1, 5, 37, 185, 521, 2605, 19277

Step-4: Factors of 96400

List of positive integer factors of 96400 that divides 96385 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 241, 400, 482, 964, 1205, 1928, 2410, 3856, 4820, 6025, 9640, 12050, 19280, 24100, 48200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96385 and 96400. The biggest common factor number is the GCF number.
So the greatest common factor 96385 and 96400 is 5.

Also check out the Least Common Multiple of 96385 and 96400