What is the Greatest Common Factor of 16576 and 16588?

Greatest common factor (GCF) of 16576 and 16588 is 4.

GCF(16576,16588) = 4

We will now calculate the prime factors of 16576 and 16588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16576 and 16588.

How to find the GCF of 16576 and 16588?

We will first find the prime factorization of 16576 and 16588. After we will calculate the factors of 16576 and 16588 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 16588

Prime factors of 16588 are 2, 11, 13, 29. Prime factorization of 16588 in exponential form is:

16588 = 2² × 11¹ × 13¹ × 29¹

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 16588

List of positive integer factors of 16588 that divides 16576 without a remainder.

1, 2, 4, 11, 13, 22, 26, 29, 44, 52, 58, 116, 143, 286, 319, 377, 572, 638, 754, 1276, 1508, 4147, 8294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16576 and 16588. The biggest common factor number is the GCF number.
So the greatest common factor 16576 and 16588 is 4.

Also check out the Least Common Multiple of 16576 and 16588