What is the Greatest Common Factor of 86130 and 86139?

Greatest common factor (GCF) of 86130 and 86139 is 9.

GCF(86130,86139) = 9

We will now calculate the prime factors of 86130 and 86139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86130 and 86139.

How to find the GCF of 86130 and 86139?

We will first find the prime factorization of 86130 and 86139. After we will calculate the factors of 86130 and 86139 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86139

Prime factors of 86139 are 3, 17, 563. Prime factorization of 86139 in exponential form is:

86139 = 3² × 17¹ × 563¹

Step-3: Factors of 86130

List of positive integer factors of 86130 that divides 86130 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

Step-4: Factors of 86139

List of positive integer factors of 86139 that divides 86130 without a remainder.

1, 3, 9, 17, 51, 153, 563, 1689, 5067, 9571, 28713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86130 and 86139. The biggest common factor number is the GCF number.
So the greatest common factor 86130 and 86139 is 9.

Also check out the Least Common Multiple of 86130 and 86139