What is the Greatest Common Factor of 16538 and 16544?

Greatest common factor (GCF) of 16538 and 16544 is 2.

GCF(16538,16544) = 2

We will now calculate the prime factors of 16538 and 16544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16538 and 16544.

How to find the GCF of 16538 and 16544?

We will first find the prime factorization of 16538 and 16544. After we will calculate the factors of 16538 and 16544 and find the biggest common factor number .

Step-1: Prime Factorization of 16538

Prime factors of 16538 are 2, 8269. Prime factorization of 16538 in exponential form is:

16538 = 2¹ × 8269¹

Step-2: 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-3: Factors of 16538

List of positive integer factors of 16538 that divides 16538 without a remainder.

1, 2, 8269

Step-4: Factors of 16544

List of positive integer factors of 16544 that divides 16538 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16538 and 16544. The biggest common factor number is the GCF number.
So the greatest common factor 16538 and 16544 is 2.

Also check out the Least Common Multiple of 16538 and 16544