What is the Greatest Common Factor of 21585 and 21591?

Greatest common factor (GCF) of 21585 and 21591 is 3.

GCF(21585,21591) = 3

We will now calculate the prime factors of 21585 and 21591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21585 and 21591.

How to find the GCF of 21585 and 21591?

We will first find the prime factorization of 21585 and 21591. After we will calculate the factors of 21585 and 21591 and find the biggest common factor number .

Step-1: Prime Factorization of 21585

Prime factors of 21585 are 3, 5, 1439. Prime factorization of 21585 in exponential form is:

21585 = 3¹ × 5¹ × 1439¹

Step-2: Prime Factorization of 21591

Prime factors of 21591 are 3, 2399. Prime factorization of 21591 in exponential form is:

21591 = 3² × 2399¹

Step-3: Factors of 21585

List of positive integer factors of 21585 that divides 21585 without a remainder.

1, 3, 5, 15, 1439, 4317, 7195

Step-4: Factors of 21591

List of positive integer factors of 21591 that divides 21585 without a remainder.

1, 3, 9, 2399, 7197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21585 and 21591. The biggest common factor number is the GCF number.
So the greatest common factor 21585 and 21591 is 3.

Also check out the Least Common Multiple of 21585 and 21591