What is the Greatest Common Factor of 86160 and 86180?

Greatest common factor (GCF) of 86160 and 86180 is 20.

GCF(86160,86180) = 20

We will now calculate the prime factors of 86160 and 86180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86160 and 86180.

How to find the GCF of 86160 and 86180?

We will first find the prime factorization of 86160 and 86180. After we will calculate the factors of 86160 and 86180 and find the biggest common factor number .

Step-1: Prime Factorization of 86160

Prime factors of 86160 are 2, 3, 5, 359. Prime factorization of 86160 in exponential form is:

86160 = 2⁴ × 3¹ × 5¹ × 359¹

Step-2: Prime Factorization of 86180

Prime factors of 86180 are 2, 5, 31, 139. Prime factorization of 86180 in exponential form is:

86180 = 2² × 5¹ × 31¹ × 139¹

Step-3: Factors of 86160

List of positive integer factors of 86160 that divides 86160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 359, 718, 1077, 1436, 1795, 2154, 2872, 3590, 4308, 5385, 5744, 7180, 8616, 10770, 14360, 17232, 21540, 28720, 43080

Step-4: Factors of 86180

List of positive integer factors of 86180 that divides 86160 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 139, 155, 278, 310, 556, 620, 695, 1390, 2780, 4309, 8618, 17236, 21545, 43090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86160 and 86180. The biggest common factor number is the GCF number.
So the greatest common factor 86160 and 86180 is 20.

Also check out the Least Common Multiple of 86160 and 86180