What is the Greatest Common Factor of 82016 and 82022?

Greatest common factor (GCF) of 82016 and 82022 is 2.

GCF(82016,82022) = 2

We will now calculate the prime factors of 82016 and 82022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82016 and 82022.

How to find the GCF of 82016 and 82022?

We will first find the prime factorization of 82016 and 82022. After we will calculate the factors of 82016 and 82022 and find the biggest common factor number .

Step-1: Prime Factorization of 82016

Prime factors of 82016 are 2, 11, 233. Prime factorization of 82016 in exponential form is:

82016 = 2⁵ × 11¹ × 233¹

Step-2: Prime Factorization of 82022

Prime factors of 82022 are 2, 41011. Prime factorization of 82022 in exponential form is:

82022 = 2¹ × 41011¹

Step-3: Factors of 82016

List of positive integer factors of 82016 that divides 82016 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 233, 352, 466, 932, 1864, 2563, 3728, 5126, 7456, 10252, 20504, 41008

Step-4: Factors of 82022

List of positive integer factors of 82022 that divides 82016 without a remainder.

1, 2, 41011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82016 and 82022. The biggest common factor number is the GCF number.
So the greatest common factor 82016 and 82022 is 2.

Also check out the Least Common Multiple of 82016 and 82022