What is the Greatest Common Factor of 16589 and 16601?

Greatest common factor (GCF) of 16589 and 16601 is 1.

GCF(16589,16601) = 1

We will now calculate the prime factors of 16589 and 16601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16589 and 16601.

How to find the GCF of 16589 and 16601?

We will first find the prime factorization of 16589 and 16601. After we will calculate the factors of 16589 and 16601 and find the biggest common factor number .

Step-1: Prime Factorization of 16589

Prime factors of 16589 are 53, 313. Prime factorization of 16589 in exponential form is:

16589 = 53¹ × 313¹

Step-2: Prime Factorization of 16601

Prime factors of 16601 are 13, 1277. Prime factorization of 16601 in exponential form is:

16601 = 13¹ × 1277¹

Step-3: Factors of 16589

List of positive integer factors of 16589 that divides 16589 without a remainder.

1, 53, 313

Step-4: Factors of 16601

List of positive integer factors of 16601 that divides 16589 without a remainder.

1, 13, 1277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16589 and 16601. The biggest common factor number is the GCF number.
So the greatest common factor 16589 and 16601 is 1.

Also check out the Least Common Multiple of 16589 and 16601