What is the Greatest Common Factor of 38380 and 38395?

Greatest common factor (GCF) of 38380 and 38395 is 5.

GCF(38380,38395) = 5

We will now calculate the prime factors of 38380 and 38395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38380 and 38395.

How to find the GCF of 38380 and 38395?

We will first find the prime factorization of 38380 and 38395. After we will calculate the factors of 38380 and 38395 and find the biggest common factor number .

Step-1: Prime Factorization of 38380

Prime factors of 38380 are 2, 5, 19, 101. Prime factorization of 38380 in exponential form is:

38380 = 2² × 5¹ × 19¹ × 101¹

Step-2: Prime Factorization of 38395

Prime factors of 38395 are 5, 7, 1097. Prime factorization of 38395 in exponential form is:

38395 = 5¹ × 7¹ × 1097¹

Step-3: Factors of 38380

List of positive integer factors of 38380 that divides 38380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 101, 190, 202, 380, 404, 505, 1010, 1919, 2020, 3838, 7676, 9595, 19190

Step-4: Factors of 38395

List of positive integer factors of 38395 that divides 38380 without a remainder.

1, 5, 7, 35, 1097, 5485, 7679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38380 and 38395. The biggest common factor number is the GCF number.
So the greatest common factor 38380 and 38395 is 5.

Also check out the Least Common Multiple of 38380 and 38395