What is the Greatest Common Factor of 16371 and 16388?

Greatest common factor (GCF) of 16371 and 16388 is 17.

GCF(16371,16388) = 17

We will now calculate the prime factors of 16371 and 16388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16371 and 16388.

How to find the GCF of 16371 and 16388?

We will first find the prime factorization of 16371 and 16388. After we will calculate the factors of 16371 and 16388 and find the biggest common factor number .

Step-1: Prime Factorization of 16371

Prime factors of 16371 are 3, 17, 107. Prime factorization of 16371 in exponential form is:

16371 = 3² × 17¹ × 107¹

Step-2: Prime Factorization of 16388

Prime factors of 16388 are 2, 17, 241. Prime factorization of 16388 in exponential form is:

16388 = 2² × 17¹ × 241¹

Step-3: Factors of 16371

List of positive integer factors of 16371 that divides 16371 without a remainder.

1, 3, 9, 17, 51, 107, 153, 321, 963, 1819, 5457

Step-4: Factors of 16388

List of positive integer factors of 16388 that divides 16371 without a remainder.

1, 2, 4, 17, 34, 68, 241, 482, 964, 4097, 8194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16371 and 16388. The biggest common factor number is the GCF number.
So the greatest common factor 16371 and 16388 is 17.

Also check out the Least Common Multiple of 16371 and 16388