What is the Greatest Common Factor of 21589 and 21603?

Greatest common factor (GCF) of 21589 and 21603 is 1.

GCF(21589,21603) = 1

We will now calculate the prime factors of 21589 and 21603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21589 and 21603.

How to find the GCF of 21589 and 21603?

We will first find the prime factorization of 21589 and 21603. After we will calculate the factors of 21589 and 21603 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 21603

Prime factors of 21603 are 3, 19, 379. Prime factorization of 21603 in exponential form is:

21603 = 3¹ × 19¹ × 379¹

Step-3: Factors of 21589

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

Step-4: Factors of 21603

List of positive integer factors of 21603 that divides 21589 without a remainder.

1, 3, 19, 57, 379, 1137, 7201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21589 and 21603. The biggest common factor number is the GCF number.
So the greatest common factor 21589 and 21603 is 1.

Also check out the Least Common Multiple of 21589 and 21603