What is the Greatest Common Factor of 30305 and 30311?

Greatest common factor (GCF) of 30305 and 30311 is 1.

GCF(30305,30311) = 1

We will now calculate the prime factors of 30305 and 30311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30305 and 30311.

How to find the GCF of 30305 and 30311?

We will first find the prime factorization of 30305 and 30311. After we will calculate the factors of 30305 and 30311 and find the biggest common factor number .

Step-1: Prime Factorization of 30305

Prime factors of 30305 are 5, 11, 19, 29. Prime factorization of 30305 in exponential form is:

30305 = 5¹ × 11¹ × 19¹ × 29¹

Step-2: Prime Factorization of 30311

Prime factors of 30311 are 17, 1783. Prime factorization of 30311 in exponential form is:

30311 = 17¹ × 1783¹

Step-3: Factors of 30305

List of positive integer factors of 30305 that divides 30305 without a remainder.

1, 5, 11, 19, 29, 55, 95, 145, 209, 319, 551, 1045, 1595, 2755, 6061

Step-4: Factors of 30311

List of positive integer factors of 30311 that divides 30305 without a remainder.

1, 17, 1783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30305 and 30311. The biggest common factor number is the GCF number.
So the greatest common factor 30305 and 30311 is 1.

Also check out the Least Common Multiple of 30305 and 30311