What is the Greatest Common Factor of 86185 and 86205?

Greatest common factor (GCF) of 86185 and 86205 is 5.

GCF(86185,86205) = 5

We will now calculate the prime factors of 86185 and 86205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86185 and 86205.

How to find the GCF of 86185 and 86205?

We will first find the prime factorization of 86185 and 86205. After we will calculate the factors of 86185 and 86205 and find the biggest common factor number .

Step-1: Prime Factorization of 86185

Prime factors of 86185 are 5, 11, 1567. Prime factorization of 86185 in exponential form is:

86185 = 5¹ × 11¹ × 1567¹

Step-2: 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-3: Factors of 86185

List of positive integer factors of 86185 that divides 86185 without a remainder.

1, 5, 11, 55, 1567, 7835, 17237

Step-4: Factors of 86205

List of positive integer factors of 86205 that divides 86185 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86185 and 86205. The biggest common factor number is the GCF number.
So the greatest common factor 86185 and 86205 is 5.

Also check out the Least Common Multiple of 86185 and 86205