What is the Greatest Common Factor of 20605 and 20609?

Greatest common factor (GCF) of 20605 and 20609 is 1.

GCF(20605,20609) = 1

We will now calculate the prime factors of 20605 and 20609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20605 and 20609.

How to find the GCF of 20605 and 20609?

We will first find the prime factorization of 20605 and 20609. After we will calculate the factors of 20605 and 20609 and find the biggest common factor number .

Step-1: Prime Factorization of 20605

Prime factors of 20605 are 5, 13, 317. Prime factorization of 20605 in exponential form is:

20605 = 5¹ × 13¹ × 317¹

Step-2: Prime Factorization of 20609

Prime factors of 20609 are 37, 557. Prime factorization of 20609 in exponential form is:

20609 = 37¹ × 557¹

Step-3: Factors of 20605

List of positive integer factors of 20605 that divides 20605 without a remainder.

1, 5, 13, 65, 317, 1585, 4121

Step-4: Factors of 20609

List of positive integer factors of 20609 that divides 20605 without a remainder.

1, 37, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20605 and 20609. The biggest common factor number is the GCF number.
So the greatest common factor 20605 and 20609 is 1.

Also check out the Least Common Multiple of 20605 and 20609