What is the Greatest Common Factor of 16368 and 16383?

Greatest common factor (GCF) of 16368 and 16383 is 3.

GCF(16368,16383) = 3

We will now calculate the prime factors of 16368 and 16383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16368 and 16383.

How to find the GCF of 16368 and 16383?

We will first find the prime factorization of 16368 and 16383. After we will calculate the factors of 16368 and 16383 and find the biggest common factor number .

Step-1: Prime Factorization of 16368

Prime factors of 16368 are 2, 3, 11, 31. Prime factorization of 16368 in exponential form is:

16368 = 2⁴ × 3¹ × 11¹ × 31¹

Step-2: Prime Factorization of 16383

Prime factors of 16383 are 3, 43, 127. Prime factorization of 16383 in exponential form is:

16383 = 3¹ × 43¹ × 127¹

Step-3: Factors of 16368

List of positive integer factors of 16368 that divides 16368 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 31, 33, 44, 48, 62, 66, 88, 93, 124, 132, 176, 186, 248, 264, 341, 372, 496, 528, 682, 744, 1023, 1364, 1488, 2046, 2728, 4092, 5456, 8184

Step-4: Factors of 16383

List of positive integer factors of 16383 that divides 16368 without a remainder.

1, 3, 43, 127, 129, 381, 5461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16368 and 16383. The biggest common factor number is the GCF number.
So the greatest common factor 16368 and 16383 is 3.

Also check out the Least Common Multiple of 16368 and 16383