What is the Greatest Common Factor of 17576 and 17589?

Greatest common factor (GCF) of 17576 and 17589 is 13.

GCF(17576,17589) = 13

We will now calculate the prime factors of 17576 and 17589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17576 and 17589.

How to find the GCF of 17576 and 17589?

We will first find the prime factorization of 17576 and 17589. After we will calculate the factors of 17576 and 17589 and find the biggest common factor number .

Step-1: Prime Factorization of 17576

Prime factors of 17576 are 2, 13. Prime factorization of 17576 in exponential form is:

17576 = 2³ × 13³

Step-2: 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-3: Factors of 17576

List of positive integer factors of 17576 that divides 17576 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352, 2197, 4394, 8788

Step-4: Factors of 17589

List of positive integer factors of 17589 that divides 17576 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17576 and 17589. The biggest common factor number is the GCF number.
So the greatest common factor 17576 and 17589 is 13.

Also check out the Least Common Multiple of 17576 and 17589