What is the Greatest Common Factor of 378 and 394?

Greatest common factor (GCF) of 378 and 394 is 2.

GCF(378,394) = 2

We will now calculate the prime factors of 378 and 394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 378 and 394.

How to find the GCF of 378 and 394?

We will first find the prime factorization of 378 and 394. After we will calculate the factors of 378 and 394 and find the biggest common factor number .

Step-1: Prime Factorization of 378

Prime factors of 378 are 2, 3, 7. Prime factorization of 378 in exponential form is:

378 = 2¹ × 3³ × 7¹

Step-2: Prime Factorization of 394

Prime factors of 394 are 2, 197. Prime factorization of 394 in exponential form is:

394 = 2¹ × 197¹

Step-3: Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189

Step-4: Factors of 394

List of positive integer factors of 394 that divides 378 without a remainder.

1, 2, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 378 and 394. The biggest common factor number is the GCF number.
So the greatest common factor 378 and 394 is 2.

Also check out the Least Common Multiple of 378 and 394