What is the Greatest Common Factor of 38310 and 38317?

Greatest common factor (GCF) of 38310 and 38317 is 1.

GCF(38310,38317) = 1

We will now calculate the prime factors of 38310 and 38317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38310 and 38317.

How to find the GCF of 38310 and 38317?

We will first find the prime factorization of 38310 and 38317. After we will calculate the factors of 38310 and 38317 and find the biggest common factor number .

Step-1: Prime Factorization of 38310

Prime factors of 38310 are 2, 3, 5, 1277. Prime factorization of 38310 in exponential form is:

38310 = 2¹ × 3¹ × 5¹ × 1277¹

Step-2: Prime Factorization of 38317

Prime factors of 38317 are 38317. Prime factorization of 38317 in exponential form is:

38317 = 38317¹

Step-3: Factors of 38310

List of positive integer factors of 38310 that divides 38310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1277, 2554, 3831, 6385, 7662, 12770, 19155

Step-4: Factors of 38317

List of positive integer factors of 38317 that divides 38310 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38310 and 38317. The biggest common factor number is the GCF number.
So the greatest common factor 38310 and 38317 is 1.

Also check out the Least Common Multiple of 38310 and 38317