What is the Greatest Common Factor of 16591 and 16608?

Greatest common factor (GCF) of 16591 and 16608 is 1.

GCF(16591,16608) = 1

We will now calculate the prime factors of 16591 and 16608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16591 and 16608.

How to find the GCF of 16591 and 16608?

We will first find the prime factorization of 16591 and 16608. After we will calculate the factors of 16591 and 16608 and find the biggest common factor number .

Step-1: Prime Factorization of 16591

Prime factors of 16591 are 47, 353. Prime factorization of 16591 in exponential form is:

16591 = 47¹ × 353¹

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 16591

List of positive integer factors of 16591 that divides 16591 without a remainder.

1, 47, 353

Step-4: Factors of 16608

List of positive integer factors of 16608 that divides 16591 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 16591 and 16608. The biggest common factor number is the GCF number.
So the greatest common factor 16591 and 16608 is 1.

Also check out the Least Common Multiple of 16591 and 16608