What is the Greatest Common Factor of 86130 and 86140?

Greatest common factor (GCF) of 86130 and 86140 is 10.

GCF(86130,86140) = 10

We will now calculate the prime factors of 86130 and 86140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86130 and 86140.

How to find the GCF of 86130 and 86140?

We will first find the prime factorization of 86130 and 86140. After we will calculate the factors of 86130 and 86140 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 86140

Prime factors of 86140 are 2, 5, 59, 73. Prime factorization of 86140 in exponential form is:

86140 = 2² × 5¹ × 59¹ × 73¹

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 86140

List of positive integer factors of 86140 that divides 86130 without a remainder.

1, 2, 4, 5, 10, 20, 59, 73, 118, 146, 236, 292, 295, 365, 590, 730, 1180, 1460, 4307, 8614, 17228, 21535, 43070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86130 and 86140. The biggest common factor number is the GCF number.
So the greatest common factor 86130 and 86140 is 10.

Also check out the Least Common Multiple of 86130 and 86140