What is the Greatest Common Factor of 21589 and 21606?

Greatest common factor (GCF) of 21589 and 21606 is 1.

GCF(21589,21606) = 1

We will now calculate the prime factors of 21589 and 21606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21589 and 21606.

How to find the GCF of 21589 and 21606?

We will first find the prime factorization of 21589 and 21606. After we will calculate the factors of 21589 and 21606 and find the biggest common factor number .

Step-1: Prime Factorization of 21589

Prime factors of 21589 are 21589. Prime factorization of 21589 in exponential form is:

21589 = 21589¹

Step-2: Prime Factorization of 21606

Prime factors of 21606 are 2, 3, 13, 277. Prime factorization of 21606 in exponential form is:

21606 = 2¹ × 3¹ × 13¹ × 277¹

Step-3: Factors of 21589

List of positive integer factors of 21589 that divides 21589 without a remainder.

Step-4: Factors of 21606

List of positive integer factors of 21606 that divides 21589 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 277, 554, 831, 1662, 3601, 7202, 10803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21589 and 21606. The biggest common factor number is the GCF number.
So the greatest common factor 21589 and 21606 is 1.

Also check out the Least Common Multiple of 21589 and 21606