What is the Greatest Common Factor of 9273 and 9288?

Greatest common factor (GCF) of 9273 and 9288 is 3.

GCF(9273,9288) = 3

We will now calculate the prime factors of 9273 and 9288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9273 and 9288.

How to find the GCF of 9273 and 9288?

We will first find the prime factorization of 9273 and 9288. After we will calculate the factors of 9273 and 9288 and find the biggest common factor number .

Step-1: Prime Factorization of 9273

Prime factors of 9273 are 3, 11, 281. Prime factorization of 9273 in exponential form is:

9273 = 3¹ × 11¹ × 281¹

Step-2: 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-3: Factors of 9273

List of positive integer factors of 9273 that divides 9273 without a remainder.

1, 3, 11, 33, 281, 843, 3091

Step-4: Factors of 9288

List of positive integer factors of 9288 that divides 9273 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9273 and 9288. The biggest common factor number is the GCF number.
So the greatest common factor 9273 and 9288 is 3.

Also check out the Least Common Multiple of 9273 and 9288