What is the Greatest Common Factor of 96128 and 96144?

Greatest common factor (GCF) of 96128 and 96144 is 16.

GCF(96128,96144) = 16

We will now calculate the prime factors of 96128 and 96144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96128 and 96144.

How to find the GCF of 96128 and 96144?

We will first find the prime factorization of 96128 and 96144. After we will calculate the factors of 96128 and 96144 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 96144

Prime factors of 96144 are 2, 3, 2003. Prime factorization of 96144 in exponential form is:

96144 = 2⁴ × 3¹ × 2003¹

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 96144

List of positive integer factors of 96144 that divides 96128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2003, 4006, 6009, 8012, 12018, 16024, 24036, 32048, 48072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96128 and 96144. The biggest common factor number is the GCF number.
So the greatest common factor 96128 and 96144 is 16.

Also check out the Least Common Multiple of 96128 and 96144