What is the Greatest Common Factor of 16588 and 16608?

Greatest common factor (GCF) of 16588 and 16608 is 4.

GCF(16588,16608) = 4

We will now calculate the prime factors of 16588 and 16608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16588 and 16608.

How to find the GCF of 16588 and 16608?

We will first find the prime factorization of 16588 and 16608. After we will calculate the factors of 16588 and 16608 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16608

Prime factors of 16608 are 2, 3, 173. Prime factorization of 16608 in exponential form is:

16608 = 2⁵ × 3¹ × 173¹

Step-3: Factors of 16588

List of positive integer factors of 16588 that divides 16588 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

Step-4: Factors of 16608

List of positive integer factors of 16608 that divides 16588 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16588 and 16608. The biggest common factor number is the GCF number.
So the greatest common factor 16588 and 16608 is 4.

Also check out the Least Common Multiple of 16588 and 16608