What is the Greatest Common Factor of 86110 and 86130?

Greatest common factor (GCF) of 86110 and 86130 is 10.

GCF(86110,86130) = 10

We will now calculate the prime factors of 86110 and 86130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86110 and 86130.

How to find the GCF of 86110 and 86130?

We will first find the prime factorization of 86110 and 86130. After we will calculate the factors of 86110 and 86130 and find the biggest common factor number .

Step-1: Prime Factorization of 86110

Prime factors of 86110 are 2, 5, 79, 109. Prime factorization of 86110 in exponential form is:

86110 = 2¹ × 5¹ × 79¹ × 109¹

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 86110

List of positive integer factors of 86110 that divides 86110 without a remainder.

1, 2, 5, 10, 79, 109, 158, 218, 395, 545, 790, 1090, 8611, 17222, 43055

Step-4: Factors of 86130

List of positive integer factors of 86130 that divides 86110 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 86110 and 86130. The biggest common factor number is the GCF number.
So the greatest common factor 86110 and 86130 is 10.

Also check out the Least Common Multiple of 86110 and 86130