What is the Greatest Common Factor of 16544 and 16553?

Greatest common factor (GCF) of 16544 and 16553 is 1.

GCF(16544,16553) = 1

We will now calculate the prime factors of 16544 and 16553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16544 and 16553.

How to find the GCF of 16544 and 16553?

We will first find the prime factorization of 16544 and 16553. After we will calculate the factors of 16544 and 16553 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 16553

Prime factors of 16553 are 16553. Prime factorization of 16553 in exponential form is:

16553 = 16553¹

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 16553

List of positive integer factors of 16553 that divides 16544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16544 and 16553. The biggest common factor number is the GCF number.
So the greatest common factor 16544 and 16553 is 1.

Also check out the Least Common Multiple of 16544 and 16553