What is the Greatest Common Factor of 96109 and 96128?

Greatest common factor (GCF) of 96109 and 96128 is 1.

GCF(96109,96128) = 1

We will now calculate the prime factors of 96109 and 96128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96109 and 96128.

How to find the GCF of 96109 and 96128?

We will first find the prime factorization of 96109 and 96128. After we will calculate the factors of 96109 and 96128 and find the biggest common factor number .

Step-1: Prime Factorization of 96109

Prime factors of 96109 are 13, 7393. Prime factorization of 96109 in exponential form is:

96109 = 13¹ × 7393¹

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 96109

List of positive integer factors of 96109 that divides 96109 without a remainder.

1, 13, 7393

Step-4: Factors of 96128

List of positive integer factors of 96128 that divides 96109 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 96109 and 96128. The biggest common factor number is the GCF number.
So the greatest common factor 96109 and 96128 is 1.

Also check out the Least Common Multiple of 96109 and 96128