What is the Greatest Common Factor of 384 and 401?

Greatest common factor (GCF) of 384 and 401 is 1.

GCF(384,401) = 1

We will now calculate the prime factors of 384 and 401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 384 and 401.

How to find the GCF of 384 and 401?

We will first find the prime factorization of 384 and 401. After we will calculate the factors of 384 and 401 and find the biggest common factor number .

Step-1: Prime Factorization of 384

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

384 = 2⁷ × 3¹

Step-2: Prime Factorization of 401

Prime factors of 401 are 401. Prime factorization of 401 in exponential form is:

401 = 401¹

Step-3: Factors of 384

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

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

Step-4: Factors of 401

List of positive integer factors of 401 that divides 384 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 384 and 401. The biggest common factor number is the GCF number.
So the greatest common factor 384 and 401 is 1.

Also check out the Least Common Multiple of 384 and 401