What is the Greatest Common Factor of 16359 and 16378?

Greatest common factor (GCF) of 16359 and 16378 is 19.

GCF(16359,16378) = 19

We will now calculate the prime factors of 16359 and 16378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16359 and 16378.

How to find the GCF of 16359 and 16378?

We will first find the prime factorization of 16359 and 16378. After we will calculate the factors of 16359 and 16378 and find the biggest common factor number .

Step-1: Prime Factorization of 16359

Prime factors of 16359 are 3, 7, 19, 41. Prime factorization of 16359 in exponential form is:

16359 = 3¹ × 7¹ × 19¹ × 41¹

Step-2: 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-3: Factors of 16359

List of positive integer factors of 16359 that divides 16359 without a remainder.

1, 3, 7, 19, 21, 41, 57, 123, 133, 287, 399, 779, 861, 2337, 5453

Step-4: Factors of 16378

List of positive integer factors of 16378 that divides 16359 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16359 and 16378. The biggest common factor number is the GCF number.
So the greatest common factor 16359 and 16378 is 19.

Also check out the Least Common Multiple of 16359 and 16378