What is the Greatest Common Factor of 16576 and 16582?

Greatest common factor (GCF) of 16576 and 16582 is 2.

GCF(16576,16582) = 2

We will now calculate the prime factors of 16576 and 16582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16576 and 16582.

How to find the GCF of 16576 and 16582?

We will first find the prime factorization of 16576 and 16582. After we will calculate the factors of 16576 and 16582 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16582

Prime factors of 16582 are 2, 8291. Prime factorization of 16582 in exponential form is:

16582 = 2¹ × 8291¹

Step-3: Factors of 16576

List of positive integer factors of 16576 that divides 16576 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

Step-4: Factors of 16582

List of positive integer factors of 16582 that divides 16576 without a remainder.

1, 2, 8291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16576 and 16582. The biggest common factor number is the GCF number.
So the greatest common factor 16576 and 16582 is 2.

Also check out the Least Common Multiple of 16576 and 16582