What is the Greatest Common Factor of 80589 and 80595?

Greatest common factor (GCF) of 80589 and 80595 is 3.

GCF(80589,80595) = 3

We will now calculate the prime factors of 80589 and 80595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80589 and 80595.

How to find the GCF of 80589 and 80595?

We will first find the prime factorization of 80589 and 80595. After we will calculate the factors of 80589 and 80595 and find the biggest common factor number .

Step-1: Prime Factorization of 80589

Prime factors of 80589 are 3, 26863. Prime factorization of 80589 in exponential form is:

80589 = 3¹ × 26863¹

Step-2: Prime Factorization of 80595

Prime factors of 80595 are 3, 5, 199. Prime factorization of 80595 in exponential form is:

80595 = 3⁴ × 5¹ × 199¹

Step-3: Factors of 80589

List of positive integer factors of 80589 that divides 80589 without a remainder.

1, 3, 26863

Step-4: Factors of 80595

List of positive integer factors of 80595 that divides 80589 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 199, 405, 597, 995, 1791, 2985, 5373, 8955, 16119, 26865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80589 and 80595. The biggest common factor number is the GCF number.
So the greatest common factor 80589 and 80595 is 3.

Also check out the Least Common Multiple of 80589 and 80595