What is the Greatest Common Factor of 30394 and 30406?

Greatest common factor (GCF) of 30394 and 30406 is 2.

GCF(30394,30406) = 2

We will now calculate the prime factors of 30394 and 30406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30394 and 30406.

How to find the GCF of 30394 and 30406?

We will first find the prime factorization of 30394 and 30406. After we will calculate the factors of 30394 and 30406 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 30406

Prime factors of 30406 are 2, 23, 661. Prime factorization of 30406 in exponential form is:

30406 = 2¹ × 23¹ × 661¹

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 30406

List of positive integer factors of 30406 that divides 30394 without a remainder.

1, 2, 23, 46, 661, 1322, 15203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30394 and 30406. The biggest common factor number is the GCF number.
So the greatest common factor 30394 and 30406 is 2.

Also check out the Least Common Multiple of 30394 and 30406