What is the Greatest Common Factor of 16544 and 16552?

Greatest common factor (GCF) of 16544 and 16552 is 8.

GCF(16544,16552) = 8

We will now calculate the prime factors of 16544 and 16552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16544 and 16552.

How to find the GCF of 16544 and 16552?

We will first find the prime factorization of 16544 and 16552. After we will calculate the factors of 16544 and 16552 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 16552

Prime factors of 16552 are 2, 2069. Prime factorization of 16552 in exponential form is:

16552 = 2³ × 2069¹

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 16552

List of positive integer factors of 16552 that divides 16544 without a remainder.

1, 2, 4, 8, 2069, 4138, 8276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16544 and 16552. The biggest common factor number is the GCF number.
So the greatest common factor 16544 and 16552 is 8.

Also check out the Least Common Multiple of 16544 and 16552