What is the Greatest Common Factor of 20605 and 20611?

Greatest common factor (GCF) of 20605 and 20611 is 1.

GCF(20605,20611) = 1

We will now calculate the prime factors of 20605 and 20611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20605 and 20611.

How to find the GCF of 20605 and 20611?

We will first find the prime factorization of 20605 and 20611. After we will calculate the factors of 20605 and 20611 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 20611

Prime factors of 20611 are 20611. Prime factorization of 20611 in exponential form is:

20611 = 20611¹

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 20611

List of positive integer factors of 20611 that divides 20605 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20605 and 20611. The biggest common factor number is the GCF number.
So the greatest common factor 20605 and 20611 is 1.

Also check out the Least Common Multiple of 20605 and 20611