What is the Greatest Common Factor of 96116 and 96128?

Greatest common factor (GCF) of 96116 and 96128 is 4.

GCF(96116,96128) = 4

We will now calculate the prime factors of 96116 and 96128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96116 and 96128.

How to find the GCF of 96116 and 96128?

We will first find the prime factorization of 96116 and 96128. After we will calculate the factors of 96116 and 96128 and find the biggest common factor number .

Step-1: Prime Factorization of 96116

Prime factors of 96116 are 2, 24029. Prime factorization of 96116 in exponential form is:

96116 = 2² × 24029¹

Step-2: Prime Factorization of 96128

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

96128 = 2⁷ × 751¹

Step-3: Factors of 96116

List of positive integer factors of 96116 that divides 96116 without a remainder.

1, 2, 4, 24029, 48058

Step-4: Factors of 96128

List of positive integer factors of 96128 that divides 96116 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96116 and 96128. The biggest common factor number is the GCF number.
So the greatest common factor 96116 and 96128 is 4.

Also check out the Least Common Multiple of 96116 and 96128