What is the Greatest Common Factor of 83205 and 83219?

Greatest common factor (GCF) of 83205 and 83219 is 1.

GCF(83205,83219) = 1

We will now calculate the prime factors of 83205 and 83219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83205 and 83219.

How to find the GCF of 83205 and 83219?

We will first find the prime factorization of 83205 and 83219. After we will calculate the factors of 83205 and 83219 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 83219

Prime factors of 83219 are 83219. Prime factorization of 83219 in exponential form is:

83219 = 83219¹

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 83219

List of positive integer factors of 83219 that divides 83205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83205 and 83219. The biggest common factor number is the GCF number.
So the greatest common factor 83205 and 83219 is 1.

Also check out the Least Common Multiple of 83205 and 83219