What is the Greatest Common Factor of 96400 and 96417?

Greatest common factor (GCF) of 96400 and 96417 is 1.

GCF(96400,96417) = 1

We will now calculate the prime factors of 96400 and 96417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96400 and 96417.

How to find the GCF of 96400 and 96417?

We will first find the prime factorization of 96400 and 96417. After we will calculate the factors of 96400 and 96417 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96417

Prime factors of 96417 are 3, 3571. Prime factorization of 96417 in exponential form is:

96417 = 3³ × 3571¹

Step-3: Factors of 96400

List of positive integer factors of 96400 that divides 96400 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

Step-4: Factors of 96417

List of positive integer factors of 96417 that divides 96400 without a remainder.

1, 3, 9, 27, 3571, 10713, 32139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96400 and 96417. The biggest common factor number is the GCF number.
So the greatest common factor 96400 and 96417 is 1.

Also check out the Least Common Multiple of 96400 and 96417