What is the Greatest Common Factor of 21585 and 21596?

Greatest common factor (GCF) of 21585 and 21596 is 1.

GCF(21585,21596) = 1

We will now calculate the prime factors of 21585 and 21596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21585 and 21596.

How to find the GCF of 21585 and 21596?

We will first find the prime factorization of 21585 and 21596. After we will calculate the factors of 21585 and 21596 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 21596

Prime factors of 21596 are 2, 5399. Prime factorization of 21596 in exponential form is:

21596 = 2² × 5399¹

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 21596

List of positive integer factors of 21596 that divides 21585 without a remainder.

1, 2, 4, 5399, 10798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21585 and 21596. The biggest common factor number is the GCF number.
So the greatest common factor 21585 and 21596 is 1.

Also check out the Least Common Multiple of 21585 and 21596