What is the Greatest Common Factor of 59589 and 59595?

Greatest common factor (GCF) of 59589 and 59595 is 3.

GCF(59589,59595) = 3

We will now calculate the prime factors of 59589 and 59595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59589 and 59595.

How to find the GCF of 59589 and 59595?

We will first find the prime factorization of 59589 and 59595. After we will calculate the factors of 59589 and 59595 and find the biggest common factor number .

Step-1: Prime Factorization of 59589

Prime factors of 59589 are 3, 2207. Prime factorization of 59589 in exponential form is:

59589 = 3³ × 2207¹

Step-2: Prime Factorization of 59595

Prime factors of 59595 are 3, 5, 29, 137. Prime factorization of 59595 in exponential form is:

59595 = 3¹ × 5¹ × 29¹ × 137¹

Step-3: Factors of 59589

List of positive integer factors of 59589 that divides 59589 without a remainder.

1, 3, 9, 27, 2207, 6621, 19863

Step-4: Factors of 59595

List of positive integer factors of 59595 that divides 59589 without a remainder.

1, 3, 5, 15, 29, 87, 137, 145, 411, 435, 685, 2055, 3973, 11919, 19865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59589 and 59595. The biggest common factor number is the GCF number.
So the greatest common factor 59589 and 59595 is 3.

Also check out the Least Common Multiple of 59589 and 59595