What is the Greatest Common Factor of 16320 and 16336?

Greatest common factor (GCF) of 16320 and 16336 is 16.

GCF(16320,16336) = 16

We will now calculate the prime factors of 16320 and 16336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16320 and 16336.

How to find the GCF of 16320 and 16336?

We will first find the prime factorization of 16320 and 16336. After we will calculate the factors of 16320 and 16336 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 16336

Prime factors of 16336 are 2, 1021. Prime factorization of 16336 in exponential form is:

16336 = 2⁴ × 1021¹

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 16336

List of positive integer factors of 16336 that divides 16320 without a remainder.

1, 2, 4, 8, 16, 1021, 2042, 4084, 8168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16320 and 16336. The biggest common factor number is the GCF number.
So the greatest common factor 16320 and 16336 is 16.

Also check out the Least Common Multiple of 16320 and 16336