What is the Greatest Common Factor of 16397 and 16416?

Greatest common factor (GCF) of 16397 and 16416 is 19.

GCF(16397,16416) = 19

We will now calculate the prime factors of 16397 and 16416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16397 and 16416.

How to find the GCF of 16397 and 16416?

We will first find the prime factorization of 16397 and 16416. After we will calculate the factors of 16397 and 16416 and find the biggest common factor number .

Step-1: Prime Factorization of 16397

Prime factors of 16397 are 19, 863. Prime factorization of 16397 in exponential form is:

16397 = 19¹ × 863¹

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 16397

List of positive integer factors of 16397 that divides 16397 without a remainder.

1, 19, 863

Step-4: Factors of 16416

List of positive integer factors of 16416 that divides 16397 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 16397 and 16416. The biggest common factor number is the GCF number.
So the greatest common factor 16397 and 16416 is 19.

Also check out the Least Common Multiple of 16397 and 16416