What is the Greatest Common Factor of 16320 and 16330?

Greatest common factor (GCF) of 16320 and 16330 is 10.

GCF(16320,16330) = 10

We will now calculate the prime factors of 16320 and 16330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16320 and 16330.

How to find the GCF of 16320 and 16330?

We will first find the prime factorization of 16320 and 16330. After we will calculate the factors of 16320 and 16330 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 16330

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

16330 = 2¹ × 5¹ × 23¹ × 71¹

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 16330

List of positive integer factors of 16330 that divides 16320 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16320 and 16330. The biggest common factor number is the GCF number.
So the greatest common factor 16320 and 16330 is 10.

Also check out the Least Common Multiple of 16320 and 16330