What is the Greatest Common Factor of 30338 and 30342?

Greatest common factor (GCF) of 30338 and 30342 is 2.

GCF(30338,30342) = 2

We will now calculate the prime factors of 30338 and 30342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30338 and 30342.

How to find the GCF of 30338 and 30342?

We will first find the prime factorization of 30338 and 30342. After we will calculate the factors of 30338 and 30342 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 30342

Prime factors of 30342 are 2, 3, 13, 389. Prime factorization of 30342 in exponential form is:

30342 = 2¹ × 3¹ × 13¹ × 389¹

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 30342

List of positive integer factors of 30342 that divides 30338 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 389, 778, 1167, 2334, 5057, 10114, 15171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30338 and 30342. The biggest common factor number is the GCF number.
So the greatest common factor 30338 and 30342 is 2.

Also check out the Least Common Multiple of 30338 and 30342