What is the Greatest Common Factor of 30394 and 30409?

Greatest common factor (GCF) of 30394 and 30409 is 1.

GCF(30394,30409) = 1

We will now calculate the prime factors of 30394 and 30409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30394 and 30409.

How to find the GCF of 30394 and 30409?

We will first find the prime factorization of 30394 and 30409. After we will calculate the factors of 30394 and 30409 and find the biggest common factor number .

Step-1: Prime Factorization of 30394

Prime factors of 30394 are 2, 7, 13, 167. Prime factorization of 30394 in exponential form is:

30394 = 2¹ × 7¹ × 13¹ × 167¹

Step-2: Prime Factorization of 30409

Prime factors of 30409 are 47, 647. Prime factorization of 30409 in exponential form is:

30409 = 47¹ × 647¹

Step-3: Factors of 30394

List of positive integer factors of 30394 that divides 30394 without a remainder.

1, 2, 7, 13, 14, 26, 91, 167, 182, 334, 1169, 2171, 2338, 4342, 15197

Step-4: Factors of 30409

List of positive integer factors of 30409 that divides 30394 without a remainder.

1, 47, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30394 and 30409. The biggest common factor number is the GCF number.
So the greatest common factor 30394 and 30409 is 1.

Also check out the Least Common Multiple of 30394 and 30409