What is the Greatest Common Factor of 16564 and 16576?

Greatest common factor (GCF) of 16564 and 16576 is 4.

GCF(16564,16576) = 4

We will now calculate the prime factors of 16564 and 16576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16564 and 16576.

How to find the GCF of 16564 and 16576?

We will first find the prime factorization of 16564 and 16576. After we will calculate the factors of 16564 and 16576 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 16576

Prime factors of 16576 are 2, 7, 37. Prime factorization of 16576 in exponential form is:

16576 = 2⁶ × 7¹ × 37¹

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 16576

List of positive integer factors of 16576 that divides 16564 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 148, 224, 259, 296, 448, 518, 592, 1036, 1184, 2072, 2368, 4144, 8288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16564 and 16576. The biggest common factor number is the GCF number.
So the greatest common factor 16564 and 16576 is 4.

Also check out the Least Common Multiple of 16564 and 16576