What is the Greatest Common Factor of 21589 and 21597?

Greatest common factor (GCF) of 21589 and 21597 is 1.

GCF(21589,21597) = 1

We will now calculate the prime factors of 21589 and 21597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21589 and 21597.

How to find the GCF of 21589 and 21597?

We will first find the prime factorization of 21589 and 21597. After we will calculate the factors of 21589 and 21597 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 21597

Prime factors of 21597 are 3, 23, 313. Prime factorization of 21597 in exponential form is:

21597 = 3¹ × 23¹ × 313¹

Step-3: Factors of 21589

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

Step-4: Factors of 21597

List of positive integer factors of 21597 that divides 21589 without a remainder.

1, 3, 23, 69, 313, 939, 7199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21589 and 21597. The biggest common factor number is the GCF number.
So the greatest common factor 21589 and 21597 is 1.

Also check out the Least Common Multiple of 21589 and 21597