What is the Greatest Common Factor of 30311 and 30322?

Greatest common factor (GCF) of 30311 and 30322 is 1.

GCF(30311,30322) = 1

We will now calculate the prime factors of 30311 and 30322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30311 and 30322.

How to find the GCF of 30311 and 30322?

We will first find the prime factorization of 30311 and 30322. After we will calculate the factors of 30311 and 30322 and find the biggest common factor number .

Step-1: Prime Factorization of 30311

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

30311 = 17¹ × 1783¹

Step-2: Prime Factorization of 30322

Prime factors of 30322 are 2, 15161. Prime factorization of 30322 in exponential form is:

30322 = 2¹ × 15161¹

Step-3: Factors of 30311

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

1, 17, 1783

Step-4: Factors of 30322

List of positive integer factors of 30322 that divides 30311 without a remainder.

1, 2, 15161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30311 and 30322. The biggest common factor number is the GCF number.
So the greatest common factor 30311 and 30322 is 1.

Also check out the Least Common Multiple of 30311 and 30322