What is the Greatest Common Factor of 16409 and 16414?

Greatest common factor (GCF) of 16409 and 16414 is 1.

GCF(16409,16414) = 1

We will now calculate the prime factors of 16409 and 16414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16409 and 16414.

How to find the GCF of 16409 and 16414?

We will first find the prime factorization of 16409 and 16414. After we will calculate the factors of 16409 and 16414 and find the biggest common factor number .

Step-1: Prime Factorization of 16409

Prime factors of 16409 are 61, 269. Prime factorization of 16409 in exponential form is:

16409 = 61¹ × 269¹

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 16409

List of positive integer factors of 16409 that divides 16409 without a remainder.

1, 61, 269

Step-4: Factors of 16414

List of positive integer factors of 16414 that divides 16409 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16409 and 16414. The biggest common factor number is the GCF number.
So the greatest common factor 16409 and 16414 is 1.

Also check out the Least Common Multiple of 16409 and 16414