What is the Greatest Common Factor of 9288 and 9294?

Greatest common factor (GCF) of 9288 and 9294 is 6.

GCF(9288,9294) = 6

We will now calculate the prime factors of 9288 and 9294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9288 and 9294.

How to find the GCF of 9288 and 9294?

We will first find the prime factorization of 9288 and 9294. After we will calculate the factors of 9288 and 9294 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 9294

Prime factors of 9294 are 2, 3, 1549. Prime factorization of 9294 in exponential form is:

9294 = 2¹ × 3¹ × 1549¹

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 9294

List of positive integer factors of 9294 that divides 9288 without a remainder.

1, 2, 3, 6, 1549, 3098, 4647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9288 and 9294. The biggest common factor number is the GCF number.
So the greatest common factor 9288 and 9294 is 6.

Also check out the Least Common Multiple of 9288 and 9294