What is the Greatest Common Factor of 86160 and 86168?

Greatest common factor (GCF) of 86160 and 86168 is 8.

GCF(86160,86168) = 8

We will now calculate the prime factors of 86160 and 86168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86160 and 86168.

How to find the GCF of 86160 and 86168?

We will first find the prime factorization of 86160 and 86168. After we will calculate the factors of 86160 and 86168 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 86168

Prime factors of 86168 are 2, 10771. Prime factorization of 86168 in exponential form is:

86168 = 2³ × 10771¹

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 86168

List of positive integer factors of 86168 that divides 86160 without a remainder.

1, 2, 4, 8, 10771, 21542, 43084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86160 and 86168. The biggest common factor number is the GCF number.
So the greatest common factor 86160 and 86168 is 8.

Also check out the Least Common Multiple of 86160 and 86168