What is the Greatest Common Factor of 9249 and 9264?

Greatest common factor (GCF) of 9249 and 9264 is 3.

GCF(9249,9264) = 3

We will now calculate the prime factors of 9249 and 9264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9249 and 9264.

How to find the GCF of 9249 and 9264?

We will first find the prime factorization of 9249 and 9264. After we will calculate the factors of 9249 and 9264 and find the biggest common factor number .

Step-1: Prime Factorization of 9249

Prime factors of 9249 are 3, 3083. Prime factorization of 9249 in exponential form is:

9249 = 3¹ × 3083¹

Step-2: Prime Factorization of 9264

Prime factors of 9264 are 2, 3, 193. Prime factorization of 9264 in exponential form is:

9264 = 2⁴ × 3¹ × 193¹

Step-3: Factors of 9249

List of positive integer factors of 9249 that divides 9249 without a remainder.

1, 3, 3083

Step-4: Factors of 9264

List of positive integer factors of 9264 that divides 9249 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9249 and 9264. The biggest common factor number is the GCF number.
So the greatest common factor 9249 and 9264 is 3.

Also check out the Least Common Multiple of 9249 and 9264