What is the Greatest Common Factor of 21605 and 21613?

Greatest common factor (GCF) of 21605 and 21613 is 1.

GCF(21605,21613) = 1

We will now calculate the prime factors of 21605 and 21613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21605 and 21613.

How to find the GCF of 21605 and 21613?

We will first find the prime factorization of 21605 and 21613. After we will calculate the factors of 21605 and 21613 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21613

Prime factors of 21613 are 21613. Prime factorization of 21613 in exponential form is:

21613 = 21613¹

Step-3: Factors of 21605

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

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

Step-4: Factors of 21613

List of positive integer factors of 21613 that divides 21605 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21605 and 21613. The biggest common factor number is the GCF number.
So the greatest common factor 21605 and 21613 is 1.

Also check out the Least Common Multiple of 21605 and 21613