What is the Greatest Common Factor of 16378 and 16397?

Greatest common factor (GCF) of 16378 and 16397 is 19.

GCF(16378,16397) = 19

We will now calculate the prime factors of 16378 and 16397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16378 and 16397.

How to find the GCF of 16378 and 16397?

We will first find the prime factorization of 16378 and 16397. After we will calculate the factors of 16378 and 16397 and find the biggest common factor number .

Step-1: Prime Factorization of 16378

Prime factors of 16378 are 2, 19, 431. Prime factorization of 16378 in exponential form is:

16378 = 2¹ × 19¹ × 431¹

Step-2: Prime Factorization of 16397

Prime factors of 16397 are 19, 863. Prime factorization of 16397 in exponential form is:

16397 = 19¹ × 863¹

Step-3: Factors of 16378

List of positive integer factors of 16378 that divides 16378 without a remainder.

1, 2, 19, 38, 431, 862, 8189

Step-4: Factors of 16397

List of positive integer factors of 16397 that divides 16378 without a remainder.

1, 19, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16378 and 16397. The biggest common factor number is the GCF number.
So the greatest common factor 16378 and 16397 is 19.

Also check out the Least Common Multiple of 16378 and 16397