What is the Greatest Common Factor of 86160 and 86166?

Greatest common factor (GCF) of 86160 and 86166 is 6.

GCF(86160,86166) = 6

We will now calculate the prime factors of 86160 and 86166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86160 and 86166.

How to find the GCF of 86160 and 86166?

We will first find the prime factorization of 86160 and 86166. After we will calculate the factors of 86160 and 86166 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 86166

Prime factors of 86166 are 2, 3, 4787. Prime factorization of 86166 in exponential form is:

86166 = 2¹ × 3² × 4787¹

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 86166

List of positive integer factors of 86166 that divides 86160 without a remainder.

1, 2, 3, 6, 9, 18, 4787, 9574, 14361, 28722, 43083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86160 and 86166. The biggest common factor number is the GCF number.
So the greatest common factor 86160 and 86166 is 6.

Also check out the Least Common Multiple of 86160 and 86166