What is the Greatest Common Factor of 382 and 398?

Greatest common factor (GCF) of 382 and 398 is 2.

GCF(382,398) = 2

We will now calculate the prime factors of 382 and 398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 382 and 398.

How to find the GCF of 382 and 398?

We will first find the prime factorization of 382 and 398. After we will calculate the factors of 382 and 398 and find the biggest common factor number .

Step-1: Prime Factorization of 382

Prime factors of 382 are 2, 191. Prime factorization of 382 in exponential form is:

382 = 2¹ × 191¹

Step-2: Prime Factorization of 398

Prime factors of 398 are 2, 199. Prime factorization of 398 in exponential form is:

398 = 2¹ × 199¹

Step-3: Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1, 2, 191

Step-4: Factors of 398

List of positive integer factors of 398 that divides 382 without a remainder.

1, 2, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 382 and 398. The biggest common factor number is the GCF number.
So the greatest common factor 382 and 398 is 2.

Also check out the Least Common Multiple of 382 and 398