What is the Greatest Common Factor of 380 and 398?

Greatest common factor (GCF) of 380 and 398 is 2.

GCF(380,398) = 2

We will now calculate the prime factors of 380 and 398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 380 and 398.

How to find the GCF of 380 and 398?

We will first find the prime factorization of 380 and 398. After we will calculate the factors of 380 and 398 and find the biggest common factor number .

Step-1: Prime Factorization of 380

Prime factors of 380 are 2, 5, 19. Prime factorization of 380 in exponential form is:

380 = 2² × 5¹ × 19¹

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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190

Step-4: Factors of 398

List of positive integer factors of 398 that divides 380 without a remainder.

1, 2, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 380 and 398. The biggest common factor number is the GCF number.
So the greatest common factor 380 and 398 is 2.

Also check out the Least Common Multiple of 380 and 398