What is the Greatest Common Factor of 39309 and 39317?

Greatest common factor (GCF) of 39309 and 39317 is 1.

GCF(39309,39317) = 1

We will now calculate the prime factors of 39309 and 39317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39309 and 39317.

How to find the GCF of 39309 and 39317?

We will first find the prime factorization of 39309 and 39317. After we will calculate the factors of 39309 and 39317 and find the biggest common factor number .

Step-1: Prime Factorization of 39309

Prime factors of 39309 are 3, 13103. Prime factorization of 39309 in exponential form is:

39309 = 3¹ × 13103¹

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 39309

List of positive integer factors of 39309 that divides 39309 without a remainder.

1, 3, 13103

Step-4: Factors of 39317

List of positive integer factors of 39317 that divides 39309 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39309 and 39317. The biggest common factor number is the GCF number.
So the greatest common factor 39309 and 39317 is 1.

Also check out the Least Common Multiple of 39309 and 39317