What is the Greatest Common Factor of 86115 and 86130?

Greatest common factor (GCF) of 86115 and 86130 is 15.

GCF(86115,86130) = 15

We will now calculate the prime factors of 86115 and 86130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86115 and 86130.

How to find the GCF of 86115 and 86130?

We will first find the prime factorization of 86115 and 86130. After we will calculate the factors of 86115 and 86130 and find the biggest common factor number .

Step-1: Prime Factorization of 86115

Prime factors of 86115 are 3, 5, 5741. Prime factorization of 86115 in exponential form is:

86115 = 3¹ × 5¹ × 5741¹

Step-2: Prime Factorization of 86130

Prime factors of 86130 are 2, 3, 5, 11, 29. Prime factorization of 86130 in exponential form is:

86130 = 2¹ × 3³ × 5¹ × 11¹ × 29¹

Step-3: Factors of 86115

List of positive integer factors of 86115 that divides 86115 without a remainder.

1, 3, 5, 15, 5741, 17223, 28705

Step-4: Factors of 86130

List of positive integer factors of 86130 that divides 86115 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 29, 30, 33, 45, 54, 55, 58, 66, 87, 90, 99, 110, 135, 145, 165, 174, 198, 261, 270, 290, 297, 319, 330, 435, 495, 522, 594, 638, 783, 870, 957, 990, 1305, 1485, 1566, 1595, 1914, 2610, 2871, 2970, 3190, 3915, 4785, 5742, 7830, 8613, 9570, 14355, 17226, 28710, 43065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86115 and 86130. The biggest common factor number is the GCF number.
So the greatest common factor 86115 and 86130 is 15.

Also check out the Least Common Multiple of 86115 and 86130