What is the Greatest Common Factor of 30303 and 30317?

Greatest common factor (GCF) of 30303 and 30317 is 7.

GCF(30303,30317) = 7

We will now calculate the prime factors of 30303 and 30317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30303 and 30317.

How to find the GCF of 30303 and 30317?

We will first find the prime factorization of 30303 and 30317. After we will calculate the factors of 30303 and 30317 and find the biggest common factor number .

Step-1: Prime Factorization of 30303

Prime factors of 30303 are 3, 7, 13, 37. Prime factorization of 30303 in exponential form is:

30303 = 3² × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 30317

Prime factors of 30317 are 7, 61, 71. Prime factorization of 30317 in exponential form is:

30317 = 7¹ × 61¹ × 71¹

Step-3: Factors of 30303

List of positive integer factors of 30303 that divides 30303 without a remainder.

1, 3, 7, 9, 13, 21, 37, 39, 63, 91, 111, 117, 259, 273, 333, 481, 777, 819, 1443, 2331, 3367, 4329, 10101

Step-4: Factors of 30317

List of positive integer factors of 30317 that divides 30303 without a remainder.

1, 7, 61, 71, 427, 497, 4331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30303 and 30317. The biggest common factor number is the GCF number.
So the greatest common factor 30303 and 30317 is 7.

Also check out the Least Common Multiple of 30303 and 30317