What is the Greatest Common Factor of 96400 and 96416?

Greatest common factor (GCF) of 96400 and 96416 is 16.

GCF(96400,96416) = 16

We will now calculate the prime factors of 96400 and 96416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96400 and 96416.

How to find the GCF of 96400 and 96416?

We will first find the prime factorization of 96400 and 96416. After we will calculate the factors of 96400 and 96416 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 96416

Prime factors of 96416 are 2, 23, 131. Prime factorization of 96416 in exponential form is:

96416 = 2⁵ × 23¹ × 131¹

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 96416

List of positive integer factors of 96416 that divides 96400 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 131, 184, 262, 368, 524, 736, 1048, 2096, 3013, 4192, 6026, 12052, 24104, 48208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96400 and 96416. The biggest common factor number is the GCF number.
So the greatest common factor 96400 and 96416 is 16.

Also check out the Least Common Multiple of 96400 and 96416