What is the Greatest Common Factor of 30338 and 30344?

Greatest common factor (GCF) of 30338 and 30344 is 2.

GCF(30338,30344) = 2

We will now calculate the prime factors of 30338 and 30344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30338 and 30344.

How to find the GCF of 30338 and 30344?

We will first find the prime factorization of 30338 and 30344. After we will calculate the factors of 30338 and 30344 and find the biggest common factor number .

Step-1: Prime Factorization of 30338

Prime factors of 30338 are 2, 7, 11, 197. Prime factorization of 30338 in exponential form is:

30338 = 2¹ × 7¹ × 11¹ × 197¹

Step-2: Prime Factorization of 30344

Prime factors of 30344 are 2, 3793. Prime factorization of 30344 in exponential form is:

30344 = 2³ × 3793¹

Step-3: Factors of 30338

List of positive integer factors of 30338 that divides 30338 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 197, 394, 1379, 2167, 2758, 4334, 15169

Step-4: Factors of 30344

List of positive integer factors of 30344 that divides 30338 without a remainder.

1, 2, 4, 8, 3793, 7586, 15172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30338 and 30344. The biggest common factor number is the GCF number.
So the greatest common factor 30338 and 30344 is 2.

Also check out the Least Common Multiple of 30338 and 30344