What is the Greatest Common Factor of 30398 and 30418?

Greatest common factor (GCF) of 30398 and 30418 is 2.

GCF(30398,30418) = 2

We will now calculate the prime factors of 30398 and 30418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30398 and 30418.

How to find the GCF of 30398 and 30418?

We will first find the prime factorization of 30398 and 30418. After we will calculate the factors of 30398 and 30418 and find the biggest common factor number .

Step-1: Prime Factorization of 30398

Prime factors of 30398 are 2, 15199. Prime factorization of 30398 in exponential form is:

30398 = 2¹ × 15199¹

Step-2: Prime Factorization of 30418

Prime factors of 30418 are 2, 67, 227. Prime factorization of 30418 in exponential form is:

30418 = 2¹ × 67¹ × 227¹

Step-3: Factors of 30398

List of positive integer factors of 30398 that divides 30398 without a remainder.

1, 2, 15199

Step-4: Factors of 30418

List of positive integer factors of 30418 that divides 30398 without a remainder.

1, 2, 67, 134, 227, 454, 15209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30398 and 30418. The biggest common factor number is the GCF number.
So the greatest common factor 30398 and 30418 is 2.

Also check out the Least Common Multiple of 30398 and 30418