What is the Greatest Common Factor of 30339 and 30353?

Greatest common factor (GCF) of 30339 and 30353 is 1.

GCF(30339,30353) = 1

We will now calculate the prime factors of 30339 and 30353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30339 and 30353.

How to find the GCF of 30339 and 30353?

We will first find the prime factorization of 30339 and 30353. After we will calculate the factors of 30339 and 30353 and find the biggest common factor number .

Step-1: Prime Factorization of 30339

Prime factors of 30339 are 3, 3371. Prime factorization of 30339 in exponential form is:

30339 = 3² × 3371¹

Step-2: Prime Factorization of 30353

Prime factors of 30353 are 127, 239. Prime factorization of 30353 in exponential form is:

30353 = 127¹ × 239¹

Step-3: Factors of 30339

List of positive integer factors of 30339 that divides 30339 without a remainder.

1, 3, 9, 3371, 10113

Step-4: Factors of 30353

List of positive integer factors of 30353 that divides 30339 without a remainder.

1, 127, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30339 and 30353. The biggest common factor number is the GCF number.
So the greatest common factor 30339 and 30353 is 1.

Also check out the Least Common Multiple of 30339 and 30353