What is the Greatest Common Factor of 16436 and 16446?

Greatest common factor (GCF) of 16436 and 16446 is 2.

GCF(16436,16446) = 2

We will now calculate the prime factors of 16436 and 16446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16436 and 16446.

How to find the GCF of 16436 and 16446?

We will first find the prime factorization of 16436 and 16446. After we will calculate the factors of 16436 and 16446 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 16446

Prime factors of 16446 are 2, 3, 2741. Prime factorization of 16446 in exponential form is:

16446 = 2¹ × 3¹ × 2741¹

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 16446

List of positive integer factors of 16446 that divides 16436 without a remainder.

1, 2, 3, 6, 2741, 5482, 8223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16436 and 16446. The biggest common factor number is the GCF number.
So the greatest common factor 16436 and 16446 is 2.

Also check out the Least Common Multiple of 16436 and 16446