What is the Greatest Common Factor of 16320 and 16333?

Greatest common factor (GCF) of 16320 and 16333 is 1.

GCF(16320,16333) = 1

We will now calculate the prime factors of 16320 and 16333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16320 and 16333.

How to find the GCF of 16320 and 16333?

We will first find the prime factorization of 16320 and 16333. After we will calculate the factors of 16320 and 16333 and find the biggest common factor number .

Step-1: Prime Factorization of 16320

Prime factors of 16320 are 2, 3, 5, 17. Prime factorization of 16320 in exponential form is:

16320 = 2⁶ × 3¹ × 5¹ × 17¹

Step-2: Prime Factorization of 16333

Prime factors of 16333 are 16333. Prime factorization of 16333 in exponential form is:

16333 = 16333¹

Step-3: Factors of 16320

List of positive integer factors of 16320 that divides 16320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 64, 68, 80, 85, 96, 102, 120, 136, 160, 170, 192, 204, 240, 255, 272, 320, 340, 408, 480, 510, 544, 680, 816, 960, 1020, 1088, 1360, 1632, 2040, 2720, 3264, 4080, 5440, 8160

Step-4: Factors of 16333

List of positive integer factors of 16333 that divides 16320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16320 and 16333. The biggest common factor number is the GCF number.
So the greatest common factor 16320 and 16333 is 1.

Also check out the Least Common Multiple of 16320 and 16333