What is the Greatest Common Factor of 30338 and 30345?

Greatest common factor (GCF) of 30338 and 30345 is 7.

GCF(30338,30345) = 7

We will now calculate the prime factors of 30338 and 30345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30338 and 30345.

How to find the GCF of 30338 and 30345?

We will first find the prime factorization of 30338 and 30345. After we will calculate the factors of 30338 and 30345 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 30345

Prime factors of 30345 are 3, 5, 7, 17. Prime factorization of 30345 in exponential form is:

30345 = 3¹ × 5¹ × 7¹ × 17²

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 30345

List of positive integer factors of 30345 that divides 30338 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 289, 357, 595, 867, 1445, 1785, 2023, 4335, 6069, 10115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30338 and 30345. The biggest common factor number is the GCF number.
So the greatest common factor 30338 and 30345 is 7.

Also check out the Least Common Multiple of 30338 and 30345