What is the Greatest Common Factor of 16408 and 16428?

Greatest common factor (GCF) of 16408 and 16428 is 4.

GCF(16408,16428) = 4

We will now calculate the prime factors of 16408 and 16428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16408 and 16428.

How to find the GCF of 16408 and 16428?

We will first find the prime factorization of 16408 and 16428. After we will calculate the factors of 16408 and 16428 and find the biggest common factor number .

Step-1: Prime Factorization of 16408

Prime factors of 16408 are 2, 7, 293. Prime factorization of 16408 in exponential form is:

16408 = 2³ × 7¹ × 293¹

Step-2: Prime Factorization of 16428

Prime factors of 16428 are 2, 3, 37. Prime factorization of 16428 in exponential form is:

16428 = 2² × 3¹ × 37²

Step-3: Factors of 16408

List of positive integer factors of 16408 that divides 16408 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 293, 586, 1172, 2051, 2344, 4102, 8204

Step-4: Factors of 16428

List of positive integer factors of 16428 that divides 16408 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444, 1369, 2738, 4107, 5476, 8214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16408 and 16428. The biggest common factor number is the GCF number.
So the greatest common factor 16408 and 16428 is 4.

Also check out the Least Common Multiple of 16408 and 16428