What is the Greatest Common Factor of 16404 and 16416?

Greatest common factor (GCF) of 16404 and 16416 is 12.

GCF(16404,16416) = 12

We will now calculate the prime factors of 16404 and 16416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16404 and 16416.

How to find the GCF of 16404 and 16416?

We will first find the prime factorization of 16404 and 16416. After we will calculate the factors of 16404 and 16416 and find the biggest common factor number .

Step-1: Prime Factorization of 16404

Prime factors of 16404 are 2, 3, 1367. Prime factorization of 16404 in exponential form is:

16404 = 2² × 3¹ × 1367¹

Step-2: Prime Factorization of 16416

Prime factors of 16416 are 2, 3, 19. Prime factorization of 16416 in exponential form is:

16416 = 2⁵ × 3³ × 19¹

Step-3: Factors of 16404

List of positive integer factors of 16404 that divides 16404 without a remainder.

1, 2, 3, 4, 6, 12, 1367, 2734, 4101, 5468, 8202

Step-4: Factors of 16416

List of positive integer factors of 16416 that divides 16404 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 72, 76, 96, 108, 114, 144, 152, 171, 216, 228, 288, 304, 342, 432, 456, 513, 608, 684, 864, 912, 1026, 1368, 1824, 2052, 2736, 4104, 5472, 8208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16404 and 16416. The biggest common factor number is the GCF number.
So the greatest common factor 16404 and 16416 is 12.

Also check out the Least Common Multiple of 16404 and 16416