What is the Greatest Common Factor of 16608 and 16614?

Greatest common factor (GCF) of 16608 and 16614 is 6.

GCF(16608,16614) = 6

We will now calculate the prime factors of 16608 and 16614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16608 and 16614.

How to find the GCF of 16608 and 16614?

We will first find the prime factorization of 16608 and 16614. After we will calculate the factors of 16608 and 16614 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 16614

Prime factors of 16614 are 2, 3, 13, 71. Prime factorization of 16614 in exponential form is:

16614 = 2¹ × 3² × 13¹ × 71¹

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 16614

List of positive integer factors of 16614 that divides 16608 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 71, 78, 117, 142, 213, 234, 426, 639, 923, 1278, 1846, 2769, 5538, 8307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16608 and 16614. The biggest common factor number is the GCF number.
So the greatest common factor 16608 and 16614 is 6.

Also check out the Least Common Multiple of 16608 and 16614