What is the Greatest Common Factor of 82016 and 82033?

Greatest common factor (GCF) of 82016 and 82033 is 1.

GCF(82016,82033) = 1

We will now calculate the prime factors of 82016 and 82033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82016 and 82033.

How to find the GCF of 82016 and 82033?

We will first find the prime factorization of 82016 and 82033. After we will calculate the factors of 82016 and 82033 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 82033

Prime factors of 82033 are 7, 11719. Prime factorization of 82033 in exponential form is:

82033 = 7¹ × 11719¹

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 82033

List of positive integer factors of 82033 that divides 82016 without a remainder.

1, 7, 11719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82016 and 82033. The biggest common factor number is the GCF number.
So the greatest common factor 82016 and 82033 is 1.

Also check out the Least Common Multiple of 82016 and 82033