What is the Greatest Common Factor of 16408 and 16427?

Greatest common factor (GCF) of 16408 and 16427 is 1.

GCF(16408,16427) = 1

We will now calculate the prime factors of 16408 and 16427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16408 and 16427.

How to find the GCF of 16408 and 16427?

We will first find the prime factorization of 16408 and 16427. After we will calculate the factors of 16408 and 16427 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 16427

Prime factors of 16427 are 16427. Prime factorization of 16427 in exponential form is:

16427 = 16427¹

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 16427

List of positive integer factors of 16427 that divides 16408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16408 and 16427. The biggest common factor number is the GCF number.
So the greatest common factor 16408 and 16427 is 1.

Also check out the Least Common Multiple of 16408 and 16427