What is the Greatest Common Factor of 18589 and 18608?

Greatest common factor (GCF) of 18589 and 18608 is 1.

GCF(18589,18608) = 1

We will now calculate the prime factors of 18589 and 18608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18589 and 18608.

How to find the GCF of 18589 and 18608?

We will first find the prime factorization of 18589 and 18608. After we will calculate the factors of 18589 and 18608 and find the biggest common factor number .

Step-1: Prime Factorization of 18589

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

18589 = 29¹ × 641¹

Step-2: Prime Factorization of 18608

Prime factors of 18608 are 2, 1163. Prime factorization of 18608 in exponential form is:

18608 = 2⁴ × 1163¹

Step-3: Factors of 18589

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

1, 29, 641

Step-4: Factors of 18608

List of positive integer factors of 18608 that divides 18589 without a remainder.

1, 2, 4, 8, 16, 1163, 2326, 4652, 9304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18589 and 18608. The biggest common factor number is the GCF number.
So the greatest common factor 18589 and 18608 is 1.

Also check out the Least Common Multiple of 18589 and 18608