What is the Greatest Common Factor of 16564 and 16573?

Greatest common factor (GCF) of 16564 and 16573 is 1.

GCF(16564,16573) = 1

We will now calculate the prime factors of 16564 and 16573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16564 and 16573.

How to find the GCF of 16564 and 16573?

We will first find the prime factorization of 16564 and 16573. After we will calculate the factors of 16564 and 16573 and find the biggest common factor number .

Step-1: Prime Factorization of 16564

Prime factors of 16564 are 2, 41, 101. Prime factorization of 16564 in exponential form is:

16564 = 2² × 41¹ × 101¹

Step-2: Prime Factorization of 16573

Prime factors of 16573 are 16573. Prime factorization of 16573 in exponential form is:

16573 = 16573¹

Step-3: Factors of 16564

List of positive integer factors of 16564 that divides 16564 without a remainder.

1, 2, 4, 41, 82, 101, 164, 202, 404, 4141, 8282

Step-4: Factors of 16573

List of positive integer factors of 16573 that divides 16564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16564 and 16573. The biggest common factor number is the GCF number.
So the greatest common factor 16564 and 16573 is 1.

Also check out the Least Common Multiple of 16564 and 16573