What is the Greatest Common Factor of 83205 and 83211?

Greatest common factor (GCF) of 83205 and 83211 is 3.

GCF(83205,83211) = 3

We will now calculate the prime factors of 83205 and 83211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83205 and 83211.

How to find the GCF of 83205 and 83211?

We will first find the prime factorization of 83205 and 83211. After we will calculate the factors of 83205 and 83211 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 83211

Prime factors of 83211 are 3, 27737. Prime factorization of 83211 in exponential form is:

83211 = 3¹ × 27737¹

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 83211

List of positive integer factors of 83211 that divides 83205 without a remainder.

1, 3, 27737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83205 and 83211. The biggest common factor number is the GCF number.
So the greatest common factor 83205 and 83211 is 3.

Also check out the Least Common Multiple of 83205 and 83211