What is the Greatest Common Factor of 16399 and 16414?

Greatest common factor (GCF) of 16399 and 16414 is 1.

GCF(16399,16414) = 1

We will now calculate the prime factors of 16399 and 16414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16399 and 16414.

How to find the GCF of 16399 and 16414?

We will first find the prime factorization of 16399 and 16414. After we will calculate the factors of 16399 and 16414 and find the biggest common factor number .

Step-1: Prime Factorization of 16399

Prime factors of 16399 are 23, 31. Prime factorization of 16399 in exponential form is:

16399 = 23² × 31¹

Step-2: Prime Factorization of 16414

Prime factors of 16414 are 2, 29, 283. Prime factorization of 16414 in exponential form is:

16414 = 2¹ × 29¹ × 283¹

Step-3: Factors of 16399

List of positive integer factors of 16399 that divides 16399 without a remainder.

1, 23, 31, 529, 713

Step-4: Factors of 16414

List of positive integer factors of 16414 that divides 16399 without a remainder.

1, 2, 29, 58, 283, 566, 8207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16399 and 16414. The biggest common factor number is the GCF number.
So the greatest common factor 16399 and 16414 is 1.

Also check out the Least Common Multiple of 16399 and 16414