What is the Greatest Common Factor of 21584 and 21589?

Greatest common factor (GCF) of 21584 and 21589 is 1.

GCF(21584,21589) = 1

We will now calculate the prime factors of 21584 and 21589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21584 and 21589.

How to find the GCF of 21584 and 21589?

We will first find the prime factorization of 21584 and 21589. After we will calculate the factors of 21584 and 21589 and find the biggest common factor number .

Step-1: Prime Factorization of 21584

Prime factors of 21584 are 2, 19, 71. Prime factorization of 21584 in exponential form is:

21584 = 2⁴ × 19¹ × 71¹

Step-2: Prime Factorization of 21589

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

21589 = 21589¹

Step-3: Factors of 21584

List of positive integer factors of 21584 that divides 21584 without a remainder.

1, 2, 4, 8, 16, 19, 38, 71, 76, 142, 152, 284, 304, 568, 1136, 1349, 2698, 5396, 10792

Step-4: Factors of 21589

List of positive integer factors of 21589 that divides 21584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21584 and 21589. The biggest common factor number is the GCF number.
So the greatest common factor 21584 and 21589 is 1.

Also check out the Least Common Multiple of 21584 and 21589