What is the Greatest Common Factor of 38380 and 38387?

Greatest common factor (GCF) of 38380 and 38387 is 1.

GCF(38380,38387) = 1

We will now calculate the prime factors of 38380 and 38387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38380 and 38387.

How to find the GCF of 38380 and 38387?

We will first find the prime factorization of 38380 and 38387. After we will calculate the factors of 38380 and 38387 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 38387

Prime factors of 38387 are 23, 1669. Prime factorization of 38387 in exponential form is:

38387 = 23¹ × 1669¹

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 38387

List of positive integer factors of 38387 that divides 38380 without a remainder.

1, 23, 1669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38380 and 38387. The biggest common factor number is the GCF number.
So the greatest common factor 38380 and 38387 is 1.

Also check out the Least Common Multiple of 38380 and 38387