What is the Greatest Common Factor of 377 and 384?

Greatest common factor (GCF) of 377 and 384 is 1.

GCF(377,384) = 1

We will now calculate the prime factors of 377 and 384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 377 and 384.

How to find the GCF of 377 and 384?

We will first find the prime factorization of 377 and 384. After we will calculate the factors of 377 and 384 and find the biggest common factor number .

Step-1: Prime Factorization of 377

Prime factors of 377 are 13, 29. Prime factorization of 377 in exponential form is:

377 = 13¹ × 29¹

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 377

List of positive integer factors of 377 that divides 377 without a remainder.

1, 13, 29

Step-4: Factors of 384

List of positive integer factors of 384 that divides 377 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 377 and 384. The biggest common factor number is the GCF number.
So the greatest common factor 377 and 384 is 1.

Also check out the Least Common Multiple of 377 and 384