What is the Greatest Common Factor of 16320 and 16332?

Greatest common factor (GCF) of 16320 and 16332 is 12.

GCF(16320,16332) = 12

We will now calculate the prime factors of 16320 and 16332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16320 and 16332.

How to find the GCF of 16320 and 16332?

We will first find the prime factorization of 16320 and 16332. After we will calculate the factors of 16320 and 16332 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 16332

Prime factors of 16332 are 2, 3, 1361. Prime factorization of 16332 in exponential form is:

16332 = 2² × 3¹ × 1361¹

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 16332

List of positive integer factors of 16332 that divides 16320 without a remainder.

1, 2, 3, 4, 6, 12, 1361, 2722, 4083, 5444, 8166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16320 and 16332. The biggest common factor number is the GCF number.
So the greatest common factor 16320 and 16332 is 12.

Also check out the Least Common Multiple of 16320 and 16332