What is the Greatest Common Factor of 16338 and 16350?

Greatest common factor (GCF) of 16338 and 16350 is 6.

GCF(16338,16350) = 6

We will now calculate the prime factors of 16338 and 16350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16338 and 16350.

How to find the GCF of 16338 and 16350?

We will first find the prime factorization of 16338 and 16350. After we will calculate the factors of 16338 and 16350 and find the biggest common factor number .

Step-1: Prime Factorization of 16338

Prime factors of 16338 are 2, 3, 7, 389. Prime factorization of 16338 in exponential form is:

16338 = 2¹ × 3¹ × 7¹ × 389¹

Step-2: Prime Factorization of 16350

Prime factors of 16350 are 2, 3, 5, 109. Prime factorization of 16350 in exponential form is:

16350 = 2¹ × 3¹ × 5² × 109¹

Step-3: Factors of 16338

List of positive integer factors of 16338 that divides 16338 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 389, 778, 1167, 2334, 2723, 5446, 8169

Step-4: Factors of 16350

List of positive integer factors of 16350 that divides 16338 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 109, 150, 218, 327, 545, 654, 1090, 1635, 2725, 3270, 5450, 8175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16338 and 16350. The biggest common factor number is the GCF number.
So the greatest common factor 16338 and 16350 is 6.

Also check out the Least Common Multiple of 16338 and 16350