What is the Greatest Common Factor of 16320 and 16337?

Greatest common factor (GCF) of 16320 and 16337 is 17.

GCF(16320,16337) = 17

We will now calculate the prime factors of 16320 and 16337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16320 and 16337.

How to find the GCF of 16320 and 16337?

We will first find the prime factorization of 16320 and 16337. After we will calculate the factors of 16320 and 16337 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 16337

Prime factors of 16337 are 17, 31. Prime factorization of 16337 in exponential form is:

16337 = 17¹ × 31²

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 16337

List of positive integer factors of 16337 that divides 16320 without a remainder.

1, 17, 31, 527, 961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16320 and 16337. The biggest common factor number is the GCF number.
So the greatest common factor 16320 and 16337 is 17.

Also check out the Least Common Multiple of 16320 and 16337