What is the Greatest Common Factor of 16544 and 16559?

Greatest common factor (GCF) of 16544 and 16559 is 1.

GCF(16544,16559) = 1

We will now calculate the prime factors of 16544 and 16559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16544 and 16559.

How to find the GCF of 16544 and 16559?

We will first find the prime factorization of 16544 and 16559. After we will calculate the factors of 16544 and 16559 and find the biggest common factor number .

Step-1: Prime Factorization of 16544

Prime factors of 16544 are 2, 11, 47. Prime factorization of 16544 in exponential form is:

16544 = 2⁵ × 11¹ × 47¹

Step-2: Prime Factorization of 16559

Prime factors of 16559 are 29, 571. Prime factorization of 16559 in exponential form is:

16559 = 29¹ × 571¹

Step-3: Factors of 16544

List of positive integer factors of 16544 that divides 16544 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 47, 88, 94, 176, 188, 352, 376, 517, 752, 1034, 1504, 2068, 4136, 8272

Step-4: Factors of 16559

List of positive integer factors of 16559 that divides 16544 without a remainder.

1, 29, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16544 and 16559. The biggest common factor number is the GCF number.
So the greatest common factor 16544 and 16559 is 1.

Also check out the Least Common Multiple of 16544 and 16559