What is the Greatest Common Factor of 20605 and 20617?

Greatest common factor (GCF) of 20605 and 20617 is 1.

GCF(20605,20617) = 1

We will now calculate the prime factors of 20605 and 20617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20605 and 20617.

How to find the GCF of 20605 and 20617?

We will first find the prime factorization of 20605 and 20617. After we will calculate the factors of 20605 and 20617 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 20617

Prime factors of 20617 are 53, 389. Prime factorization of 20617 in exponential form is:

20617 = 53¹ × 389¹

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 20617

List of positive integer factors of 20617 that divides 20605 without a remainder.

1, 53, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20605 and 20617. The biggest common factor number is the GCF number.
So the greatest common factor 20605 and 20617 is 1.

Also check out the Least Common Multiple of 20605 and 20617