What is the Greatest Common Factor of 96416 and 96432?

Greatest common factor (GCF) of 96416 and 96432 is 16.

GCF(96416,96432) = 16

We will now calculate the prime factors of 96416 and 96432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96416 and 96432.

How to find the GCF of 96416 and 96432?

We will first find the prime factorization of 96416 and 96432. After we will calculate the factors of 96416 and 96432 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96432

Prime factors of 96432 are 2, 3, 7, 41. Prime factorization of 96432 in exponential form is:

96432 = 2⁴ × 3¹ × 7² × 41¹

Step-3: Factors of 96416

List of positive integer factors of 96416 that divides 96416 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

Step-4: Factors of 96432

List of positive integer factors of 96432 that divides 96416 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 41, 42, 48, 49, 56, 82, 84, 98, 112, 123, 147, 164, 168, 196, 246, 287, 294, 328, 336, 392, 492, 574, 588, 656, 784, 861, 984, 1148, 1176, 1722, 1968, 2009, 2296, 2352, 3444, 4018, 4592, 6027, 6888, 8036, 12054, 13776, 16072, 24108, 32144, 48216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96416 and 96432. The biggest common factor number is the GCF number.
So the greatest common factor 96416 and 96432 is 16.

Also check out the Least Common Multiple of 96416 and 96432