What is the Greatest Common Factor of 16412 and 16423?

Greatest common factor (GCF) of 16412 and 16423 is 11.

GCF(16412,16423) = 11

We will now calculate the prime factors of 16412 and 16423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16412 and 16423.

How to find the GCF of 16412 and 16423?

We will first find the prime factorization of 16412 and 16423. After we will calculate the factors of 16412 and 16423 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16423

Prime factors of 16423 are 11, 1493. Prime factorization of 16423 in exponential form is:

16423 = 11¹ × 1493¹

Step-3: Factors of 16412

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

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

Step-4: Factors of 16423

List of positive integer factors of 16423 that divides 16412 without a remainder.

1, 11, 1493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16412 and 16423. The biggest common factor number is the GCF number.
So the greatest common factor 16412 and 16423 is 11.

Also check out the Least Common Multiple of 16412 and 16423