What is the Greatest Common Factor of 96016 and 96036?

Greatest common factor (GCF) of 96016 and 96036 is 4.

GCF(96016,96036) = 4

We will now calculate the prime factors of 96016 and 96036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96016 and 96036.

How to find the GCF of 96016 and 96036?

We will first find the prime factorization of 96016 and 96036. After we will calculate the factors of 96016 and 96036 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96036

Prime factors of 96036 are 2, 3, 53, 151. Prime factorization of 96036 in exponential form is:

96036 = 2² × 3¹ × 53¹ × 151¹

Step-3: Factors of 96016

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

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

Step-4: Factors of 96036

List of positive integer factors of 96036 that divides 96016 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 151, 159, 212, 302, 318, 453, 604, 636, 906, 1812, 8003, 16006, 24009, 32012, 48018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96016 and 96036. The biggest common factor number is the GCF number.
So the greatest common factor 96016 and 96036 is 4.

Also check out the Least Common Multiple of 96016 and 96036