What is the Greatest Common Factor of 96016 and 96022?

Greatest common factor (GCF) of 96016 and 96022 is 2.

GCF(96016,96022) = 2

We will now calculate the prime factors of 96016 and 96022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96016 and 96022.

How to find the GCF of 96016 and 96022?

We will first find the prime factorization of 96016 and 96022. After we will calculate the factors of 96016 and 96022 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 96022

Prime factors of 96022 are 2, 41, 1171. Prime factorization of 96022 in exponential form is:

96022 = 2¹ × 41¹ × 1171¹

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 96022

List of positive integer factors of 96022 that divides 96016 without a remainder.

1, 2, 41, 82, 1171, 2342, 48011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96016 and 96022. The biggest common factor number is the GCF number.
So the greatest common factor 96016 and 96022 is 2.

Also check out the Least Common Multiple of 96016 and 96022