What is the Greatest Common Factor of 9288 and 9300?

Greatest common factor (GCF) of 9288 and 9300 is 12.

GCF(9288,9300) = 12

We will now calculate the prime factors of 9288 and 9300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9288 and 9300.

How to find the GCF of 9288 and 9300?

We will first find the prime factorization of 9288 and 9300. After we will calculate the factors of 9288 and 9300 and find the biggest common factor number .

Step-1: Prime Factorization of 9288

Prime factors of 9288 are 2, 3, 43. Prime factorization of 9288 in exponential form is:

9288 = 2³ × 3³ × 43¹

Step-2: Prime Factorization of 9300

Prime factors of 9300 are 2, 3, 5, 31. Prime factorization of 9300 in exponential form is:

9300 = 2² × 3¹ × 5² × 31¹

Step-3: Factors of 9288

List of positive integer factors of 9288 that divides 9288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 86, 108, 129, 172, 216, 258, 344, 387, 516, 774, 1032, 1161, 1548, 2322, 3096, 4644

Step-4: Factors of 9300

List of positive integer factors of 9300 that divides 9288 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9288 and 9300. The biggest common factor number is the GCF number.
So the greatest common factor 9288 and 9300 is 12.

Also check out the Least Common Multiple of 9288 and 9300