What is the Greatest Common Factor of 86175 and 86190?

Greatest common factor (GCF) of 86175 and 86190 is 15.

GCF(86175,86190) = 15

We will now calculate the prime factors of 86175 and 86190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86175 and 86190.

How to find the GCF of 86175 and 86190?

We will first find the prime factorization of 86175 and 86190. After we will calculate the factors of 86175 and 86190 and find the biggest common factor number .

Step-1: Prime Factorization of 86175

Prime factors of 86175 are 3, 5, 383. Prime factorization of 86175 in exponential form is:

86175 = 3² × 5² × 383¹

Step-2: 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-3: Factors of 86175

List of positive integer factors of 86175 that divides 86175 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 383, 1149, 1915, 3447, 5745, 9575, 17235, 28725

Step-4: Factors of 86190

List of positive integer factors of 86190 that divides 86175 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86175 and 86190. The biggest common factor number is the GCF number.
So the greatest common factor 86175 and 86190 is 15.

Also check out the Least Common Multiple of 86175 and 86190