What is the Greatest Common Factor of 38368 and 38384?

Greatest common factor (GCF) of 38368 and 38384 is 16.

GCF(38368,38384) = 16

We will now calculate the prime factors of 38368 and 38384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38368 and 38384.

How to find the GCF of 38368 and 38384?

We will first find the prime factorization of 38368 and 38384. After we will calculate the factors of 38368 and 38384 and find the biggest common factor number .

Step-1: Prime Factorization of 38368

Prime factors of 38368 are 2, 11, 109. Prime factorization of 38368 in exponential form is:

38368 = 2⁵ × 11¹ × 109¹

Step-2: Prime Factorization of 38384

Prime factors of 38384 are 2, 2399. Prime factorization of 38384 in exponential form is:

38384 = 2⁴ × 2399¹

Step-3: Factors of 38368

List of positive integer factors of 38368 that divides 38368 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 109, 176, 218, 352, 436, 872, 1199, 1744, 2398, 3488, 4796, 9592, 19184

Step-4: Factors of 38384

List of positive integer factors of 38384 that divides 38368 without a remainder.

1, 2, 4, 8, 16, 2399, 4798, 9596, 19192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38368 and 38384. The biggest common factor number is the GCF number.
So the greatest common factor 38368 and 38384 is 16.

Also check out the Least Common Multiple of 38368 and 38384