What is the Greatest Common Factor of 96128 and 96132?

Greatest common factor (GCF) of 96128 and 96132 is 4.

GCF(96128,96132) = 4

We will now calculate the prime factors of 96128 and 96132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96128 and 96132.

How to find the GCF of 96128 and 96132?

We will first find the prime factorization of 96128 and 96132. After we will calculate the factors of 96128 and 96132 and find the biggest common factor number .

Step-1: Prime Factorization of 96128

Prime factors of 96128 are 2, 751. Prime factorization of 96128 in exponential form is:

96128 = 2⁷ × 751¹

Step-2: Prime Factorization of 96132

Prime factors of 96132 are 2, 3, 8011. Prime factorization of 96132 in exponential form is:

96132 = 2² × 3¹ × 8011¹

Step-3: Factors of 96128

List of positive integer factors of 96128 that divides 96128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 751, 1502, 3004, 6008, 12016, 24032, 48064

Step-4: Factors of 96132

List of positive integer factors of 96132 that divides 96128 without a remainder.

1, 2, 3, 4, 6, 12, 8011, 16022, 24033, 32044, 48066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96128 and 96132. The biggest common factor number is the GCF number.
So the greatest common factor 96128 and 96132 is 4.

Also check out the Least Common Multiple of 96128 and 96132