What is the Greatest Common Factor of 86205 and 86216?

Greatest common factor (GCF) of 86205 and 86216 is 1.

GCF(86205,86216) = 1

We will now calculate the prime factors of 86205 and 86216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86205 and 86216.

How to find the GCF of 86205 and 86216?

We will first find the prime factorization of 86205 and 86216. After we will calculate the factors of 86205 and 86216 and find the biggest common factor number .

Step-1: Prime Factorization of 86205

Prime factors of 86205 are 3, 5, 7, 821. Prime factorization of 86205 in exponential form is:

86205 = 3¹ × 5¹ × 7¹ × 821¹

Step-2: Prime Factorization of 86216

Prime factors of 86216 are 2, 13, 829. Prime factorization of 86216 in exponential form is:

86216 = 2³ × 13¹ × 829¹

Step-3: Factors of 86205

List of positive integer factors of 86205 that divides 86205 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 821, 2463, 4105, 5747, 12315, 17241, 28735

Step-4: Factors of 86216

List of positive integer factors of 86216 that divides 86205 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 829, 1658, 3316, 6632, 10777, 21554, 43108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86205 and 86216. The biggest common factor number is the GCF number.
So the greatest common factor 86205 and 86216 is 1.

Also check out the Least Common Multiple of 86205 and 86216