What is the Greatest Common Factor of 16320 and 16338?

Greatest common factor (GCF) of 16320 and 16338 is 6.

GCF(16320,16338) = 6

We will now calculate the prime factors of 16320 and 16338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16320 and 16338.

How to find the GCF of 16320 and 16338?

We will first find the prime factorization of 16320 and 16338. After we will calculate the factors of 16320 and 16338 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 16338

Prime factors of 16338 are 2, 3, 7, 389. Prime factorization of 16338 in exponential form is:

16338 = 2¹ × 3¹ × 7¹ × 389¹

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 16338

List of positive integer factors of 16338 that divides 16320 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 389, 778, 1167, 2334, 2723, 5446, 8169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16320 and 16338. The biggest common factor number is the GCF number.
So the greatest common factor 16320 and 16338 is 6.

Also check out the Least Common Multiple of 16320 and 16338