What is the Greatest Common Factor of 17589 and 17595?

Greatest common factor (GCF) of 17589 and 17595 is 3.

GCF(17589,17595) = 3

We will now calculate the prime factors of 17589 and 17595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17589 and 17595.

How to find the GCF of 17589 and 17595?

We will first find the prime factorization of 17589 and 17595. After we will calculate the factors of 17589 and 17595 and find the biggest common factor number .

Step-1: Prime Factorization of 17589

Prime factors of 17589 are 3, 11, 13, 41. Prime factorization of 17589 in exponential form is:

17589 = 3¹ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 17595

Prime factors of 17595 are 3, 5, 17, 23. Prime factorization of 17595 in exponential form is:

17595 = 3² × 5¹ × 17¹ × 23¹

Step-3: Factors of 17589

List of positive integer factors of 17589 that divides 17589 without a remainder.

1, 3, 11, 13, 33, 39, 41, 123, 143, 429, 451, 533, 1353, 1599, 5863

Step-4: Factors of 17595

List of positive integer factors of 17595 that divides 17589 without a remainder.

1, 3, 5, 9, 15, 17, 23, 45, 51, 69, 85, 115, 153, 207, 255, 345, 391, 765, 1035, 1173, 1955, 3519, 5865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17589 and 17595. The biggest common factor number is the GCF number.
So the greatest common factor 17589 and 17595 is 3.

Also check out the Least Common Multiple of 17589 and 17595