What is the Greatest Common Factor of 16436 and 16444?

Greatest common factor (GCF) of 16436 and 16444 is 4.

GCF(16436,16444) = 4

We will now calculate the prime factors of 16436 and 16444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16436 and 16444.

How to find the GCF of 16436 and 16444?

We will first find the prime factorization of 16436 and 16444. After we will calculate the factors of 16436 and 16444 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 16444

Prime factors of 16444 are 2, 4111. Prime factorization of 16444 in exponential form is:

16444 = 2² × 4111¹

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 16444

List of positive integer factors of 16444 that divides 16436 without a remainder.

1, 2, 4, 4111, 8222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16436 and 16444. The biggest common factor number is the GCF number.
So the greatest common factor 16436 and 16444 is 4.

Also check out the Least Common Multiple of 16436 and 16444