What is the Greatest Common Factor of 30288 and 30303?

Greatest common factor (GCF) of 30288 and 30303 is 3.

GCF(30288,30303) = 3

We will now calculate the prime factors of 30288 and 30303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30288 and 30303.

How to find the GCF of 30288 and 30303?

We will first find the prime factorization of 30288 and 30303. After we will calculate the factors of 30288 and 30303 and find the biggest common factor number .

Step-1: Prime Factorization of 30288

Prime factors of 30288 are 2, 3, 631. Prime factorization of 30288 in exponential form is:

30288 = 2⁴ × 3¹ × 631¹

Step-2: 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-3: Factors of 30288

List of positive integer factors of 30288 that divides 30288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 631, 1262, 1893, 2524, 3786, 5048, 7572, 10096, 15144

Step-4: Factors of 30303

List of positive integer factors of 30303 that divides 30288 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30288 and 30303. The biggest common factor number is the GCF number.
So the greatest common factor 30288 and 30303 is 3.

Also check out the Least Common Multiple of 30288 and 30303