What is the Greatest Common Factor of 17589 and 17603?

Greatest common factor (GCF) of 17589 and 17603 is 1.

GCF(17589,17603) = 1

We will now calculate the prime factors of 17589 and 17603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17589 and 17603.

How to find the GCF of 17589 and 17603?

We will first find the prime factorization of 17589 and 17603. After we will calculate the factors of 17589 and 17603 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 17603

Prime factors of 17603 are 29, 607. Prime factorization of 17603 in exponential form is:

17603 = 29¹ × 607¹

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 17603

List of positive integer factors of 17603 that divides 17589 without a remainder.

1, 29, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17589 and 17603. The biggest common factor number is the GCF number.
So the greatest common factor 17589 and 17603 is 1.

Also check out the Least Common Multiple of 17589 and 17603