What is the Greatest Common Factor of 86160 and 86165?

Greatest common factor (GCF) of 86160 and 86165 is 5.

GCF(86160,86165) = 5

We will now calculate the prime factors of 86160 and 86165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86160 and 86165.

How to find the GCF of 86160 and 86165?

We will first find the prime factorization of 86160 and 86165. After we will calculate the factors of 86160 and 86165 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 86165

Prime factors of 86165 are 5, 19, 907. Prime factorization of 86165 in exponential form is:

86165 = 5¹ × 19¹ × 907¹

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 86165

List of positive integer factors of 86165 that divides 86160 without a remainder.

1, 5, 19, 95, 907, 4535, 17233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86160 and 86165. The biggest common factor number is the GCF number.
So the greatest common factor 86160 and 86165 is 5.

Also check out the Least Common Multiple of 86160 and 86165