What is the Greatest Common Factor of 16608 and 16624?

Greatest common factor (GCF) of 16608 and 16624 is 16.

GCF(16608,16624) = 16

We will now calculate the prime factors of 16608 and 16624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16608 and 16624.

How to find the GCF of 16608 and 16624?

We will first find the prime factorization of 16608 and 16624. After we will calculate the factors of 16608 and 16624 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16624

Prime factors of 16624 are 2, 1039. Prime factorization of 16624 in exponential form is:

16624 = 2⁴ × 1039¹

Step-3: Factors of 16608

List of positive integer factors of 16608 that divides 16608 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

Step-4: Factors of 16624

List of positive integer factors of 16624 that divides 16608 without a remainder.

1, 2, 4, 8, 16, 1039, 2078, 4156, 8312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16608 and 16624. The biggest common factor number is the GCF number.
So the greatest common factor 16608 and 16624 is 16.

Also check out the Least Common Multiple of 16608 and 16624