What is the Greatest Common Factor of 83205 and 83217?

Greatest common factor (GCF) of 83205 and 83217 is 3.

GCF(83205,83217) = 3

We will now calculate the prime factors of 83205 and 83217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83205 and 83217.

How to find the GCF of 83205 and 83217?

We will first find the prime factorization of 83205 and 83217. After we will calculate the factors of 83205 and 83217 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 83217

Prime factors of 83217 are 3, 27739. Prime factorization of 83217 in exponential form is:

83217 = 3¹ × 27739¹

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 83217

List of positive integer factors of 83217 that divides 83205 without a remainder.

1, 3, 27739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83205 and 83217. The biggest common factor number is the GCF number.
So the greatest common factor 83205 and 83217 is 3.

Also check out the Least Common Multiple of 83205 and 83217