What is the Greatest Common Factor of 96008 and 96016?

Greatest common factor (GCF) of 96008 and 96016 is 8.

GCF(96008,96016) = 8

We will now calculate the prime factors of 96008 and 96016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96008 and 96016.

How to find the GCF of 96008 and 96016?

We will first find the prime factorization of 96008 and 96016. After we will calculate the factors of 96008 and 96016 and find the biggest common factor number .

Step-1: Prime Factorization of 96008

Prime factors of 96008 are 2, 11, 1091. Prime factorization of 96008 in exponential form is:

96008 = 2³ × 11¹ × 1091¹

Step-2: Prime Factorization of 96016

Prime factors of 96016 are 2, 17, 353. Prime factorization of 96016 in exponential form is:

96016 = 2⁴ × 17¹ × 353¹

Step-3: Factors of 96008

List of positive integer factors of 96008 that divides 96008 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1091, 2182, 4364, 8728, 12001, 24002, 48004

Step-4: Factors of 96016

List of positive integer factors of 96016 that divides 96008 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 353, 706, 1412, 2824, 5648, 6001, 12002, 24004, 48008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96008 and 96016. The biggest common factor number is the GCF number.
So the greatest common factor 96008 and 96016 is 8.

Also check out the Least Common Multiple of 96008 and 96016