What is the Greatest Common Factor of 16401 and 16412?

Greatest common factor (GCF) of 16401 and 16412 is 11.

GCF(16401,16412) = 11

We will now calculate the prime factors of 16401 and 16412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16401 and 16412.

How to find the GCF of 16401 and 16412?

We will first find the prime factorization of 16401 and 16412. After we will calculate the factors of 16401 and 16412 and find the biggest common factor number .

Step-1: Prime Factorization of 16401

Prime factors of 16401 are 3, 7, 11, 71. Prime factorization of 16401 in exponential form is:

16401 = 3¹ × 7¹ × 11¹ × 71¹

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 16401

List of positive integer factors of 16401 that divides 16401 without a remainder.

1, 3, 7, 11, 21, 33, 71, 77, 213, 231, 497, 781, 1491, 2343, 5467

Step-4: Factors of 16412

List of positive integer factors of 16412 that divides 16401 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 16401 and 16412. The biggest common factor number is the GCF number.
So the greatest common factor 16401 and 16412 is 11.

Also check out the Least Common Multiple of 16401 and 16412