What is the Greatest Common Factor of 96009 and 96016?

Greatest common factor (GCF) of 96009 and 96016 is 1.

GCF(96009,96016) = 1

We will now calculate the prime factors of 96009 and 96016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96009 and 96016.

How to find the GCF of 96009 and 96016?

We will first find the prime factorization of 96009 and 96016. After we will calculate the factors of 96009 and 96016 and find the biggest common factor number .

Step-1: Prime Factorization of 96009

Prime factors of 96009 are 3, 32003. Prime factorization of 96009 in exponential form is:

96009 = 3¹ × 32003¹

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 96009

List of positive integer factors of 96009 that divides 96009 without a remainder.

1, 3, 32003

Step-4: Factors of 96016

List of positive integer factors of 96016 that divides 96009 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 96009 and 96016. The biggest common factor number is the GCF number.
So the greatest common factor 96009 and 96016 is 1.

Also check out the Least Common Multiple of 96009 and 96016