What is the Greatest Common Factor of 96432 and 96444?

Greatest common factor (GCF) of 96432 and 96444 is 12.

GCF(96432,96444) = 12

We will now calculate the prime factors of 96432 and 96444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96432 and 96444.

How to find the GCF of 96432 and 96444?

We will first find the prime factorization of 96432 and 96444. After we will calculate the factors of 96432 and 96444 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 96444

Prime factors of 96444 are 2, 3, 19, 47. Prime factorization of 96444 in exponential form is:

96444 = 2² × 3³ × 19¹ × 47¹

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 96444

List of positive integer factors of 96444 that divides 96432 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 47, 54, 57, 76, 94, 108, 114, 141, 171, 188, 228, 282, 342, 423, 513, 564, 684, 846, 893, 1026, 1269, 1692, 1786, 2052, 2538, 2679, 3572, 5076, 5358, 8037, 10716, 16074, 24111, 32148, 48222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96432 and 96444. The biggest common factor number is the GCF number.
So the greatest common factor 96432 and 96444 is 12.

Also check out the Least Common Multiple of 96432 and 96444