What is the Greatest Common Factor of 96418 and 96432?

Greatest common factor (GCF) of 96418 and 96432 is 14.

GCF(96418,96432) = 14

We will now calculate the prime factors of 96418 and 96432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96418 and 96432.

How to find the GCF of 96418 and 96432?

We will first find the prime factorization of 96418 and 96432. After we will calculate the factors of 96418 and 96432 and find the biggest common factor number .

Step-1: Prime Factorization of 96418

Prime factors of 96418 are 2, 7, 71, 97. Prime factorization of 96418 in exponential form is:

96418 = 2¹ × 7¹ × 71¹ × 97¹

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 96418

List of positive integer factors of 96418 that divides 96418 without a remainder.

1, 2, 7, 14, 71, 97, 142, 194, 497, 679, 994, 1358, 6887, 13774, 48209

Step-4: Factors of 96432

List of positive integer factors of 96432 that divides 96418 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 96418 and 96432. The biggest common factor number is the GCF number.
So the greatest common factor 96418 and 96432 is 14.

Also check out the Least Common Multiple of 96418 and 96432