What is the Greatest Common Factor of 16436 and 16450?

Greatest common factor (GCF) of 16436 and 16450 is 14.

GCF(16436,16450) = 14

We will now calculate the prime factors of 16436 and 16450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16436 and 16450.

How to find the GCF of 16436 and 16450?

We will first find the prime factorization of 16436 and 16450. After we will calculate the factors of 16436 and 16450 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 16450

Prime factors of 16450 are 2, 5, 7, 47. Prime factorization of 16450 in exponential form is:

16450 = 2¹ × 5² × 7¹ × 47¹

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 16450

List of positive integer factors of 16450 that divides 16436 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 47, 50, 70, 94, 175, 235, 329, 350, 470, 658, 1175, 1645, 2350, 3290, 8225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16436 and 16450. The biggest common factor number is the GCF number.
So the greatest common factor 16436 and 16450 is 14.

Also check out the Least Common Multiple of 16436 and 16450