What is the Greatest Common Factor of 86190 and 86205?

Greatest common factor (GCF) of 86190 and 86205 is 15.

GCF(86190,86205) = 15

We will now calculate the prime factors of 86190 and 86205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86190 and 86205.

How to find the GCF of 86190 and 86205?

We will first find the prime factorization of 86190 and 86205. After we will calculate the factors of 86190 and 86205 and find the biggest common factor number .

Step-1: Prime Factorization of 86190

Prime factors of 86190 are 2, 3, 5, 13, 17. Prime factorization of 86190 in exponential form is:

86190 = 2¹ × 3¹ × 5¹ × 13² × 17¹

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 86190

List of positive integer factors of 86190 that divides 86190 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 169, 170, 195, 221, 255, 338, 390, 442, 507, 510, 663, 845, 1014, 1105, 1326, 1690, 2210, 2535, 2873, 3315, 5070, 5746, 6630, 8619, 14365, 17238, 28730, 43095

Step-4: Factors of 86205

List of positive integer factors of 86205 that divides 86190 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 86190 and 86205. The biggest common factor number is the GCF number.
So the greatest common factor 86190 and 86205 is 15.

Also check out the Least Common Multiple of 86190 and 86205