What is the Greatest Common Factor of 18576 and 18589?

Greatest common factor (GCF) of 18576 and 18589 is 1.

GCF(18576,18589) = 1

We will now calculate the prime factors of 18576 and 18589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18576 and 18589.

How to find the GCF of 18576 and 18589?

We will first find the prime factorization of 18576 and 18589. After we will calculate the factors of 18576 and 18589 and find the biggest common factor number .

Step-1: Prime Factorization of 18576

Prime factors of 18576 are 2, 3, 43. Prime factorization of 18576 in exponential form is:

18576 = 2⁴ × 3³ × 43¹

Step-2: Prime Factorization of 18589

Prime factors of 18589 are 29, 641. Prime factorization of 18589 in exponential form is:

18589 = 29¹ × 641¹

Step-3: Factors of 18576

List of positive integer factors of 18576 that divides 18576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 43, 48, 54, 72, 86, 108, 129, 144, 172, 216, 258, 344, 387, 432, 516, 688, 774, 1032, 1161, 1548, 2064, 2322, 3096, 4644, 6192, 9288

Step-4: Factors of 18589

List of positive integer factors of 18589 that divides 18576 without a remainder.

1, 29, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18576 and 18589. The biggest common factor number is the GCF number.
So the greatest common factor 18576 and 18589 is 1.

Also check out the Least Common Multiple of 18576 and 18589