What is the Greatest Common Factor of 65160 and 65165?

Greatest common factor (GCF) of 65160 and 65165 is 5.

GCF(65160,65165) = 5

We will now calculate the prime factors of 65160 and 65165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65160 and 65165.

How to find the GCF of 65160 and 65165?

We will first find the prime factorization of 65160 and 65165. After we will calculate the factors of 65160 and 65165 and find the biggest common factor number .

Step-1: Prime Factorization of 65160

Prime factors of 65160 are 2, 3, 5, 181. Prime factorization of 65160 in exponential form is:

65160 = 2³ × 3² × 5¹ × 181¹

Step-2: Prime Factorization of 65165

Prime factors of 65165 are 5, 13033. Prime factorization of 65165 in exponential form is:

65165 = 5¹ × 13033¹

Step-3: Factors of 65160

List of positive integer factors of 65160 that divides 65160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 181, 360, 362, 543, 724, 905, 1086, 1448, 1629, 1810, 2172, 2715, 3258, 3620, 4344, 5430, 6516, 7240, 8145, 10860, 13032, 16290, 21720, 32580

Step-4: Factors of 65165

List of positive integer factors of 65165 that divides 65160 without a remainder.

1, 5, 13033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65160 and 65165. The biggest common factor number is the GCF number.
So the greatest common factor 65160 and 65165 is 5.

Also check out the Least Common Multiple of 65160 and 65165