What is the Greatest Common Factor of 380 and 395?

Greatest common factor (GCF) of 380 and 395 is 5.

GCF(380,395) = 5

We will now calculate the prime factors of 380 and 395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 380 and 395.

How to find the GCF of 380 and 395?

We will first find the prime factorization of 380 and 395. After we will calculate the factors of 380 and 395 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 395

Prime factors of 395 are 5, 79. Prime factorization of 395 in exponential form is:

395 = 5¹ × 79¹

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 395

List of positive integer factors of 395 that divides 380 without a remainder.

1, 5, 79

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 380 and 395. The biggest common factor number is the GCF number.
So the greatest common factor 380 and 395 is 5.

Also check out the Least Common Multiple of 380 and 395