What is the Greatest Common Factor of 30384 and 30398?

Greatest common factor (GCF) of 30384 and 30398 is 2.

GCF(30384,30398) = 2

We will now calculate the prime factors of 30384 and 30398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30384 and 30398.

How to find the GCF of 30384 and 30398?

We will first find the prime factorization of 30384 and 30398. After we will calculate the factors of 30384 and 30398 and find the biggest common factor number .

Step-1: Prime Factorization of 30384

Prime factors of 30384 are 2, 3, 211. Prime factorization of 30384 in exponential form is:

30384 = 2⁴ × 3² × 211¹

Step-2: Prime Factorization of 30398

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

30398 = 2¹ × 15199¹

Step-3: Factors of 30384

List of positive integer factors of 30384 that divides 30384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3376, 3798, 5064, 7596, 10128, 15192

Step-4: Factors of 30398

List of positive integer factors of 30398 that divides 30384 without a remainder.

1, 2, 15199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30384 and 30398. The biggest common factor number is the GCF number.
So the greatest common factor 30384 and 30398 is 2.

Also check out the Least Common Multiple of 30384 and 30398