What is the Greatest Common Factor of 39305 and 39317?

Greatest common factor (GCF) of 39305 and 39317 is 1.

GCF(39305,39317) = 1

We will now calculate the prime factors of 39305 and 39317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39305 and 39317.

How to find the GCF of 39305 and 39317?

We will first find the prime factorization of 39305 and 39317. After we will calculate the factors of 39305 and 39317 and find the biggest common factor number .

Step-1: Prime Factorization of 39305

Prime factors of 39305 are 5, 7, 1123. Prime factorization of 39305 in exponential form is:

39305 = 5¹ × 7¹ × 1123¹

Step-2: Prime Factorization of 39317

Prime factors of 39317 are 39317. Prime factorization of 39317 in exponential form is:

39317 = 39317¹

Step-3: Factors of 39305

List of positive integer factors of 39305 that divides 39305 without a remainder.

1, 5, 7, 35, 1123, 5615, 7861

Step-4: Factors of 39317

List of positive integer factors of 39317 that divides 39305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39305 and 39317. The biggest common factor number is the GCF number.
So the greatest common factor 39305 and 39317 is 1.

Also check out the Least Common Multiple of 39305 and 39317