What is the Greatest Common Factor of 368 and 384?

Greatest common factor (GCF) of 368 and 384 is 16.

GCF(368,384) = 16

We will now calculate the prime factors of 368 and 384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 368 and 384.

How to find the GCF of 368 and 384?

We will first find the prime factorization of 368 and 384. After we will calculate the factors of 368 and 384 and find the biggest common factor number .

Step-1: Prime Factorization of 368

Prime factors of 368 are 2, 23. Prime factorization of 368 in exponential form is:

368 = 2⁴ × 23¹

Step-2: Prime Factorization of 384

Prime factors of 384 are 2, 3. Prime factorization of 384 in exponential form is:

384 = 2⁷ × 3¹

Step-3: Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184

Step-4: Factors of 384

List of positive integer factors of 384 that divides 368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 368 and 384. The biggest common factor number is the GCF number.
So the greatest common factor 368 and 384 is 16.

Also check out the Least Common Multiple of 368 and 384