What is the Greatest Common Factor of 21587 and 21605?

Greatest common factor (GCF) of 21587 and 21605 is 1.

GCF(21587,21605) = 1

We will now calculate the prime factors of 21587 and 21605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21587 and 21605.

How to find the GCF of 21587 and 21605?

We will first find the prime factorization of 21587 and 21605. After we will calculate the factors of 21587 and 21605 and find the biggest common factor number .

Step-1: Prime Factorization of 21587

Prime factors of 21587 are 21587. Prime factorization of 21587 in exponential form is:

21587 = 21587¹

Step-2: Prime Factorization of 21605

Prime factors of 21605 are 5, 29, 149. Prime factorization of 21605 in exponential form is:

21605 = 5¹ × 29¹ × 149¹

Step-3: Factors of 21587

List of positive integer factors of 21587 that divides 21587 without a remainder.

Step-4: Factors of 21605

List of positive integer factors of 21605 that divides 21587 without a remainder.

1, 5, 29, 145, 149, 745, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21587 and 21605. The biggest common factor number is the GCF number.
So the greatest common factor 21587 and 21605 is 1.

Also check out the Least Common Multiple of 21587 and 21605