What is the Greatest Common Factor of 30394 and 30407?

Greatest common factor (GCF) of 30394 and 30407 is 13.

GCF(30394,30407) = 13

We will now calculate the prime factors of 30394 and 30407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30394 and 30407.

How to find the GCF of 30394 and 30407?

We will first find the prime factorization of 30394 and 30407. After we will calculate the factors of 30394 and 30407 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 30407

Prime factors of 30407 are 13, 2339. Prime factorization of 30407 in exponential form is:

30407 = 13¹ × 2339¹

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 30407

List of positive integer factors of 30407 that divides 30394 without a remainder.

1, 13, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30394 and 30407. The biggest common factor number is the GCF number.
So the greatest common factor 30394 and 30407 is 13.

Also check out the Least Common Multiple of 30394 and 30407