What is the Greatest Common Factor of 96432 and 96438?

Greatest common factor (GCF) of 96432 and 96438 is 6.

GCF(96432,96438) = 6

We will now calculate the prime factors of 96432 and 96438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96432 and 96438.

How to find the GCF of 96432 and 96438?

We will first find the prime factorization of 96432 and 96438. After we will calculate the factors of 96432 and 96438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96438

Prime factors of 96438 are 2, 3, 16073. Prime factorization of 96438 in exponential form is:

96438 = 2¹ × 3¹ × 16073¹

Step-3: Factors of 96432

List of positive integer factors of 96432 that divides 96432 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

Step-4: Factors of 96438

List of positive integer factors of 96438 that divides 96432 without a remainder.

1, 2, 3, 6, 16073, 32146, 48219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96432 and 96438. The biggest common factor number is the GCF number.
So the greatest common factor 96432 and 96438 is 6.

Also check out the Least Common Multiple of 96432 and 96438