What is the Greatest Common Factor of 30331 and 30338?

Greatest common factor (GCF) of 30331 and 30338 is 7.

GCF(30331,30338) = 7

We will now calculate the prime factors of 30331 and 30338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30331 and 30338.

How to find the GCF of 30331 and 30338?

We will first find the prime factorization of 30331 and 30338. After we will calculate the factors of 30331 and 30338 and find the biggest common factor number .

Step-1: Prime Factorization of 30331

Prime factors of 30331 are 7, 619. Prime factorization of 30331 in exponential form is:

30331 = 7² × 619¹

Step-2: 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-3: Factors of 30331

List of positive integer factors of 30331 that divides 30331 without a remainder.

1, 7, 49, 619, 4333

Step-4: Factors of 30338

List of positive integer factors of 30338 that divides 30331 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30331 and 30338. The biggest common factor number is the GCF number.
So the greatest common factor 30331 and 30338 is 7.

Also check out the Least Common Multiple of 30331 and 30338