What is the Greatest Common Factor of 381 and 396?

Greatest common factor (GCF) of 381 and 396 is 3.

GCF(381,396) = 3

We will now calculate the prime factors of 381 and 396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 381 and 396.

How to find the GCF of 381 and 396?

We will first find the prime factorization of 381 and 396. After we will calculate the factors of 381 and 396 and find the biggest common factor number .

Step-1: Prime Factorization of 381

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

381 = 3¹ × 127¹

Step-2: Prime Factorization of 396

Prime factors of 396 are 2, 3, 11. Prime factorization of 396 in exponential form is:

396 = 2² × 3² × 11¹

Step-3: Factors of 381

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

1, 3, 127

Step-4: Factors of 396

List of positive integer factors of 396 that divides 381 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 381 and 396. The biggest common factor number is the GCF number.
So the greatest common factor 381 and 396 is 3.

Also check out the Least Common Multiple of 381 and 396