What is the Greatest Common Factor of 16608 and 16622?

Greatest common factor (GCF) of 16608 and 16622 is 2.

GCF(16608,16622) = 2

We will now calculate the prime factors of 16608 and 16622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16608 and 16622.

How to find the GCF of 16608 and 16622?

We will first find the prime factorization of 16608 and 16622. After we will calculate the factors of 16608 and 16622 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 16622

Prime factors of 16622 are 2, 8311. Prime factorization of 16622 in exponential form is:

16622 = 2¹ × 8311¹

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 16622

List of positive integer factors of 16622 that divides 16608 without a remainder.

1, 2, 8311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16608 and 16622. The biggest common factor number is the GCF number.
So the greatest common factor 16608 and 16622 is 2.

Also check out the Least Common Multiple of 16608 and 16622