What is the Greatest Common Factor of 16436 and 16447?

Greatest common factor (GCF) of 16436 and 16447 is 1.

GCF(16436,16447) = 1

We will now calculate the prime factors of 16436 and 16447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16436 and 16447.

How to find the GCF of 16436 and 16447?

We will first find the prime factorization of 16436 and 16447. After we will calculate the factors of 16436 and 16447 and find the biggest common factor number .

Step-1: Prime Factorization of 16436

Prime factors of 16436 are 2, 7, 587. Prime factorization of 16436 in exponential form is:

16436 = 2² × 7¹ × 587¹

Step-2: Prime Factorization of 16447

Prime factors of 16447 are 16447. Prime factorization of 16447 in exponential form is:

16447 = 16447¹

Step-3: Factors of 16436

List of positive integer factors of 16436 that divides 16436 without a remainder.

1, 2, 4, 7, 14, 28, 587, 1174, 2348, 4109, 8218

Step-4: Factors of 16447

List of positive integer factors of 16447 that divides 16436 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16436 and 16447. The biggest common factor number is the GCF number.
So the greatest common factor 16436 and 16447 is 1.

Also check out the Least Common Multiple of 16436 and 16447