What is the Greatest Common Factor of 86130 and 86138?

Greatest common factor (GCF) of 86130 and 86138 is 2.

GCF(86130,86138) = 2

We will now calculate the prime factors of 86130 and 86138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86130 and 86138.

How to find the GCF of 86130 and 86138?

We will first find the prime factorization of 86130 and 86138. After we will calculate the factors of 86130 and 86138 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 86138

Prime factors of 86138 are 2, 13, 3313. Prime factorization of 86138 in exponential form is:

86138 = 2¹ × 13¹ × 3313¹

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 86138

List of positive integer factors of 86138 that divides 86130 without a remainder.

1, 2, 13, 26, 3313, 6626, 43069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86130 and 86138. The biggest common factor number is the GCF number.
So the greatest common factor 86130 and 86138 is 2.

Also check out the Least Common Multiple of 86130 and 86138