What is the Greatest Common Factor of 86070 and 86085?

Greatest common factor (GCF) of 86070 and 86085 is 15.

GCF(86070,86085) = 15

We will now calculate the prime factors of 86070 and 86085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86070 and 86085.

How to find the GCF of 86070 and 86085?

We will first find the prime factorization of 86070 and 86085. After we will calculate the factors of 86070 and 86085 and find the biggest common factor number .

Step-1: Prime Factorization of 86070

Prime factors of 86070 are 2, 3, 5, 19, 151. Prime factorization of 86070 in exponential form is:

86070 = 2¹ × 3¹ × 5¹ × 19¹ × 151¹

Step-2: Prime Factorization of 86085

Prime factors of 86085 are 3, 5, 1913. Prime factorization of 86085 in exponential form is:

86085 = 3² × 5¹ × 1913¹

Step-3: Factors of 86070

List of positive integer factors of 86070 that divides 86070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 151, 190, 285, 302, 453, 570, 755, 906, 1510, 2265, 2869, 4530, 5738, 8607, 14345, 17214, 28690, 43035

Step-4: Factors of 86085

List of positive integer factors of 86085 that divides 86070 without a remainder.

1, 3, 5, 9, 15, 45, 1913, 5739, 9565, 17217, 28695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86070 and 86085. The biggest common factor number is the GCF number.
So the greatest common factor 86070 and 86085 is 15.

Also check out the Least Common Multiple of 86070 and 86085