What is the Greatest Common Factor of 30288 and 30297?

Greatest common factor (GCF) of 30288 and 30297 is 3.

GCF(30288,30297) = 3

We will now calculate the prime factors of 30288 and 30297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30288 and 30297.

How to find the GCF of 30288 and 30297?

We will first find the prime factorization of 30288 and 30297. After we will calculate the factors of 30288 and 30297 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 30297

Prime factors of 30297 are 3, 10099. Prime factorization of 30297 in exponential form is:

30297 = 3¹ × 10099¹

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 30297

List of positive integer factors of 30297 that divides 30288 without a remainder.

1, 3, 10099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30288 and 30297. The biggest common factor number is the GCF number.
So the greatest common factor 30288 and 30297 is 3.

Also check out the Least Common Multiple of 30288 and 30297