What is the Greatest Common Factor of 38317 and 38334?

Greatest common factor (GCF) of 38317 and 38334 is 1.

GCF(38317,38334) = 1

We will now calculate the prime factors of 38317 and 38334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38317 and 38334.

How to find the GCF of 38317 and 38334?

We will first find the prime factorization of 38317 and 38334. After we will calculate the factors of 38317 and 38334 and find the biggest common factor number .

Step-1: Prime Factorization of 38317

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

38317 = 38317¹

Step-2: Prime Factorization of 38334

Prime factors of 38334 are 2, 3, 6389. Prime factorization of 38334 in exponential form is:

38334 = 2¹ × 3¹ × 6389¹

Step-3: Factors of 38317

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

Step-4: Factors of 38334

List of positive integer factors of 38334 that divides 38317 without a remainder.

1, 2, 3, 6, 6389, 12778, 19167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38317 and 38334. The biggest common factor number is the GCF number.
So the greatest common factor 38317 and 38334 is 1.

Also check out the Least Common Multiple of 38317 and 38334