What is the Greatest Common Factor of 82016 and 82025?

Greatest common factor (GCF) of 82016 and 82025 is 1.

GCF(82016,82025) = 1

We will now calculate the prime factors of 82016 and 82025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82016 and 82025.

How to find the GCF of 82016 and 82025?

We will first find the prime factorization of 82016 and 82025. After we will calculate the factors of 82016 and 82025 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 82025

Prime factors of 82025 are 5, 17, 193. Prime factorization of 82025 in exponential form is:

82025 = 5² × 17¹ × 193¹

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 82025

List of positive integer factors of 82025 that divides 82016 without a remainder.

1, 5, 17, 25, 85, 193, 425, 965, 3281, 4825, 16405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82016 and 82025. The biggest common factor number is the GCF number.
So the greatest common factor 82016 and 82025 is 1.

Also check out the Least Common Multiple of 82016 and 82025