What is the Greatest Common Factor of 16359 and 16366?

Greatest common factor (GCF) of 16359 and 16366 is 7.

GCF(16359,16366) = 7

We will now calculate the prime factors of 16359 and 16366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16359 and 16366.

How to find the GCF of 16359 and 16366?

We will first find the prime factorization of 16359 and 16366. After we will calculate the factors of 16359 and 16366 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 16366

Prime factors of 16366 are 2, 7, 167. Prime factorization of 16366 in exponential form is:

16366 = 2¹ × 7² × 167¹

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 16366

List of positive integer factors of 16366 that divides 16359 without a remainder.

1, 2, 7, 14, 49, 98, 167, 334, 1169, 2338, 8183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16359 and 16366. The biggest common factor number is the GCF number.
So the greatest common factor 16359 and 16366 is 7.

Also check out the Least Common Multiple of 16359 and 16366