What is the Greatest Common Factor of 80160 and 80165?

Greatest common factor (GCF) of 80160 and 80165 is 5.

GCF(80160,80165) = 5

We will now calculate the prime factors of 80160 and 80165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80160 and 80165.

How to find the GCF of 80160 and 80165?

We will first find the prime factorization of 80160 and 80165. After we will calculate the factors of 80160 and 80165 and find the biggest common factor number .

Step-1: Prime Factorization of 80160

Prime factors of 80160 are 2, 3, 5, 167. Prime factorization of 80160 in exponential form is:

80160 = 2⁵ × 3¹ × 5¹ × 167¹

Step-2: Prime Factorization of 80165

Prime factors of 80165 are 5, 16033. Prime factorization of 80165 in exponential form is:

80165 = 5¹ × 16033¹

Step-3: Factors of 80160

List of positive integer factors of 80160 that divides 80160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 167, 240, 334, 480, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 2672, 3340, 4008, 5010, 5344, 6680, 8016, 10020, 13360, 16032, 20040, 26720, 40080

Step-4: Factors of 80165

List of positive integer factors of 80165 that divides 80160 without a remainder.

1, 5, 16033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80160 and 80165. The biggest common factor number is the GCF number.
So the greatest common factor 80160 and 80165 is 5.

Also check out the Least Common Multiple of 80160 and 80165