What is the Greatest Common Factor of 16400 and 16411?

Greatest common factor (GCF) of 16400 and 16411 is 1.

GCF(16400,16411) = 1

We will now calculate the prime factors of 16400 and 16411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16400 and 16411.

How to find the GCF of 16400 and 16411?

We will first find the prime factorization of 16400 and 16411. After we will calculate the factors of 16400 and 16411 and find the biggest common factor number .

Step-1: Prime Factorization of 16400

Prime factors of 16400 are 2, 5, 41. Prime factorization of 16400 in exponential form is:

16400 = 2⁴ × 5² × 41¹

Step-2: Prime Factorization of 16411

Prime factors of 16411 are 16411. Prime factorization of 16411 in exponential form is:

16411 = 16411¹

Step-3: Factors of 16400

List of positive integer factors of 16400 that divides 16400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 41, 50, 80, 82, 100, 164, 200, 205, 328, 400, 410, 656, 820, 1025, 1640, 2050, 3280, 4100, 8200

Step-4: Factors of 16411

List of positive integer factors of 16411 that divides 16400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16400 and 16411. The biggest common factor number is the GCF number.
So the greatest common factor 16400 and 16411 is 1.

Also check out the Least Common Multiple of 16400 and 16411