What is the Greatest Common Factor of 39305 and 39311?

Greatest common factor (GCF) of 39305 and 39311 is 1.

GCF(39305,39311) = 1

We will now calculate the prime factors of 39305 and 39311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39305 and 39311.

How to find the GCF of 39305 and 39311?

We will first find the prime factorization of 39305 and 39311. After we will calculate the factors of 39305 and 39311 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 39311

Prime factors of 39311 are 19, 2069. Prime factorization of 39311 in exponential form is:

39311 = 19¹ × 2069¹

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 39311

List of positive integer factors of 39311 that divides 39305 without a remainder.

1, 19, 2069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39305 and 39311. The biggest common factor number is the GCF number.
So the greatest common factor 39305 and 39311 is 1.

Also check out the Least Common Multiple of 39305 and 39311