What is the Greatest Common Factor of 16400 and 16412?

Greatest common factor (GCF) of 16400 and 16412 is 4.

GCF(16400,16412) = 4

We will now calculate the prime factors of 16400 and 16412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16400 and 16412.

How to find the GCF of 16400 and 16412?

We will first find the prime factorization of 16400 and 16412. After we will calculate the factors of 16400 and 16412 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 16412

Prime factors of 16412 are 2, 11, 373. Prime factorization of 16412 in exponential form is:

16412 = 2² × 11¹ × 373¹

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 16412

List of positive integer factors of 16412 that divides 16400 without a remainder.

1, 2, 4, 11, 22, 44, 373, 746, 1492, 4103, 8206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16400 and 16412. The biggest common factor number is the GCF number.
So the greatest common factor 16400 and 16412 is 4.

Also check out the Least Common Multiple of 16400 and 16412