What is the Greatest Common Factor of 16330 and 16334?

Greatest common factor (GCF) of 16330 and 16334 is 2.

GCF(16330,16334) = 2

We will now calculate the prime factors of 16330 and 16334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16330 and 16334.

How to find the GCF of 16330 and 16334?

We will first find the prime factorization of 16330 and 16334. After we will calculate the factors of 16330 and 16334 and find the biggest common factor number .

Step-1: Prime Factorization of 16330

Prime factors of 16330 are 2, 5, 23, 71. Prime factorization of 16330 in exponential form is:

16330 = 2¹ × 5¹ × 23¹ × 71¹

Step-2: Prime Factorization of 16334

Prime factors of 16334 are 2, 8167. Prime factorization of 16334 in exponential form is:

16334 = 2¹ × 8167¹

Step-3: Factors of 16330

List of positive integer factors of 16330 that divides 16330 without a remainder.

1, 2, 5, 10, 23, 46, 71, 115, 142, 230, 355, 710, 1633, 3266, 8165

Step-4: Factors of 16334

List of positive integer factors of 16334 that divides 16330 without a remainder.

1, 2, 8167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16330 and 16334. The biggest common factor number is the GCF number.
So the greatest common factor 16330 and 16334 is 2.

Also check out the Least Common Multiple of 16330 and 16334