What is the Greatest Common Factor of 368 and 381?

Greatest common factor (GCF) of 368 and 381 is 1.

GCF(368,381) = 1

We will now calculate the prime factors of 368 and 381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 368 and 381.

How to find the GCF of 368 and 381?

We will first find the prime factorization of 368 and 381. After we will calculate the factors of 368 and 381 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 381

Prime factors of 381 are 3, 127. Prime factorization of 381 in exponential form is:

381 = 3¹ × 127¹

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 381

List of positive integer factors of 381 that divides 368 without a remainder.

1, 3, 127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 368 and 381. The biggest common factor number is the GCF number.
So the greatest common factor 368 and 381 is 1.

Also check out the Least Common Multiple of 368 and 381