What is the Greatest Common Factor of 38380 and 38399?

Greatest common factor (GCF) of 38380 and 38399 is 19.

GCF(38380,38399) = 19

We will now calculate the prime factors of 38380 and 38399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38380 and 38399.

How to find the GCF of 38380 and 38399?

We will first find the prime factorization of 38380 and 38399. After we will calculate the factors of 38380 and 38399 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 38399

Prime factors of 38399 are 19, 43, 47. Prime factorization of 38399 in exponential form is:

38399 = 19¹ × 43¹ × 47¹

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 38399

List of positive integer factors of 38399 that divides 38380 without a remainder.

1, 19, 43, 47, 817, 893, 2021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38380 and 38399. The biggest common factor number is the GCF number.
So the greatest common factor 38380 and 38399 is 19.

Also check out the Least Common Multiple of 38380 and 38399