What is the Greatest Common Factor of 18589 and 18603?

Greatest common factor (GCF) of 18589 and 18603 is 1.

GCF(18589,18603) = 1

We will now calculate the prime factors of 18589 and 18603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18589 and 18603.

How to find the GCF of 18589 and 18603?

We will first find the prime factorization of 18589 and 18603. After we will calculate the factors of 18589 and 18603 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 18603

Prime factors of 18603 are 3, 13, 53. Prime factorization of 18603 in exponential form is:

18603 = 3³ × 13¹ × 53¹

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 18603

List of positive integer factors of 18603 that divides 18589 without a remainder.

1, 3, 9, 13, 27, 39, 53, 117, 159, 351, 477, 689, 1431, 2067, 6201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18589 and 18603. The biggest common factor number is the GCF number.
So the greatest common factor 18589 and 18603 is 1.

Also check out the Least Common Multiple of 18589 and 18603