What is the Greatest Common Factor of 9216 and 9234?

Greatest common factor (GCF) of 9216 and 9234 is 18.

GCF(9216,9234) = 18

We will now calculate the prime factors of 9216 and 9234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9216 and 9234.

How to find the GCF of 9216 and 9234?

We will first find the prime factorization of 9216 and 9234. After we will calculate the factors of 9216 and 9234 and find the biggest common factor number .

Step-1: Prime Factorization of 9216

Prime factors of 9216 are 2, 3. Prime factorization of 9216 in exponential form is:

9216 = 2¹⁰ × 3²

Step-2: Prime Factorization of 9234

Prime factors of 9234 are 2, 3, 19. Prime factorization of 9234 in exponential form is:

9234 = 2¹ × 3⁵ × 19¹

Step-3: Factors of 9216

List of positive integer factors of 9216 that divides 9216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608

Step-4: Factors of 9234

List of positive integer factors of 9234 that divides 9216 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9216 and 9234. The biggest common factor number is the GCF number.
So the greatest common factor 9216 and 9234 is 18.

Also check out the Least Common Multiple of 9216 and 9234