What is the Greatest Common Factor of 96432 and 96441?

Greatest common factor (GCF) of 96432 and 96441 is 3.

GCF(96432,96441) = 3

We will now calculate the prime factors of 96432 and 96441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96432 and 96441.

How to find the GCF of 96432 and 96441?

We will first find the prime factorization of 96432 and 96441. After we will calculate the factors of 96432 and 96441 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 96441

Prime factors of 96441 are 3, 17, 31, 61. Prime factorization of 96441 in exponential form is:

96441 = 3¹ × 17¹ × 31¹ × 61¹

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 96441

List of positive integer factors of 96441 that divides 96432 without a remainder.

1, 3, 17, 31, 51, 61, 93, 183, 527, 1037, 1581, 1891, 3111, 5673, 32147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96432 and 96441. The biggest common factor number is the GCF number.
So the greatest common factor 96432 and 96441 is 3.

Also check out the Least Common Multiple of 96432 and 96441