What is the Greatest Common Factor of 86124 and 86130?

Greatest common factor (GCF) of 86124 and 86130 is 6.

GCF(86124,86130) = 6

We will now calculate the prime factors of 86124 and 86130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86124 and 86130.

How to find the GCF of 86124 and 86130?

We will first find the prime factorization of 86124 and 86130. After we will calculate the factors of 86124 and 86130 and find the biggest common factor number .

Step-1: Prime Factorization of 86124

Prime factors of 86124 are 2, 3, 7177. Prime factorization of 86124 in exponential form is:

86124 = 2² × 3¹ × 7177¹

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 86124

List of positive integer factors of 86124 that divides 86124 without a remainder.

1, 2, 3, 4, 6, 12, 7177, 14354, 21531, 28708, 43062

Step-4: Factors of 86130

List of positive integer factors of 86130 that divides 86124 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 86124 and 86130. The biggest common factor number is the GCF number.
So the greatest common factor 86124 and 86130 is 6.

Also check out the Least Common Multiple of 86124 and 86130