What is the Greatest Common Factor of 86085 and 86100?

Greatest common factor (GCF) of 86085 and 86100 is 15.

GCF(86085,86100) = 15

We will now calculate the prime factors of 86085 and 86100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86085 and 86100.

How to find the GCF of 86085 and 86100?

We will first find the prime factorization of 86085 and 86100. After we will calculate the factors of 86085 and 86100 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86100

Prime factors of 86100 are 2, 3, 5, 7, 41. Prime factorization of 86100 in exponential form is:

86100 = 2² × 3¹ × 5² × 7¹ × 41¹

Step-3: Factors of 86085

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

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

Step-4: Factors of 86100

List of positive integer factors of 86100 that divides 86085 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 41, 42, 50, 60, 70, 75, 82, 84, 100, 105, 123, 140, 150, 164, 175, 205, 210, 246, 287, 300, 350, 410, 420, 492, 525, 574, 615, 700, 820, 861, 1025, 1050, 1148, 1230, 1435, 1722, 2050, 2100, 2460, 2870, 3075, 3444, 4100, 4305, 5740, 6150, 7175, 8610, 12300, 14350, 17220, 21525, 28700, 43050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86085 and 86100. The biggest common factor number is the GCF number.
So the greatest common factor 86085 and 86100 is 15.

Also check out the Least Common Multiple of 86085 and 86100