What is the Greatest Common Factor of 16422 and 16436?

Greatest common factor (GCF) of 16422 and 16436 is 14.

GCF(16422,16436) = 14

We will now calculate the prime factors of 16422 and 16436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16422 and 16436.

How to find the GCF of 16422 and 16436?

We will first find the prime factorization of 16422 and 16436. After we will calculate the factors of 16422 and 16436 and find the biggest common factor number .

Step-1: Prime Factorization of 16422

Prime factors of 16422 are 2, 3, 7, 17, 23. Prime factorization of 16422 in exponential form is:

16422 = 2¹ × 3¹ × 7¹ × 17¹ × 23¹

Step-2: 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-3: Factors of 16422

List of positive integer factors of 16422 that divides 16422 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211

Step-4: Factors of 16436

List of positive integer factors of 16436 that divides 16422 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16422 and 16436. The biggest common factor number is the GCF number.
So the greatest common factor 16422 and 16436 is 14.

Also check out the Least Common Multiple of 16422 and 16436