What is the Greatest Common Factor of 39305 and 39309?

Greatest common factor (GCF) of 39305 and 39309 is 1.

GCF(39305,39309) = 1

We will now calculate the prime factors of 39305 and 39309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39305 and 39309.

How to find the GCF of 39305 and 39309?

We will first find the prime factorization of 39305 and 39309. After we will calculate the factors of 39305 and 39309 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 39309

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

39309 = 3¹ × 13103¹

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 39309

List of positive integer factors of 39309 that divides 39305 without a remainder.

1, 3, 13103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39305 and 39309. The biggest common factor number is the GCF number.
So the greatest common factor 39305 and 39309 is 1.

Also check out the Least Common Multiple of 39305 and 39309