What is the Greatest Common Factor of 83205 and 83221?

Greatest common factor (GCF) of 83205 and 83221 is 1.

GCF(83205,83221) = 1

We will now calculate the prime factors of 83205 and 83221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83205 and 83221.

How to find the GCF of 83205 and 83221?

We will first find the prime factorization of 83205 and 83221. After we will calculate the factors of 83205 and 83221 and find the biggest common factor number .

Step-1: Prime Factorization of 83205

Prime factors of 83205 are 3, 5, 43. Prime factorization of 83205 in exponential form is:

83205 = 3² × 5¹ × 43²

Step-2: Prime Factorization of 83221

Prime factors of 83221 are 83221. Prime factorization of 83221 in exponential form is:

83221 = 83221¹

Step-3: Factors of 83205

List of positive integer factors of 83205 that divides 83205 without a remainder.

1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1849, 1935, 5547, 9245, 16641, 27735

Step-4: Factors of 83221

List of positive integer factors of 83221 that divides 83205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83205 and 83221. The biggest common factor number is the GCF number.
So the greatest common factor 83205 and 83221 is 1.

Also check out the Least Common Multiple of 83205 and 83221