What is the Greatest Common Factor of 9249 and 9255?

Greatest common factor (GCF) of 9249 and 9255 is 3.

GCF(9249,9255) = 3

We will now calculate the prime factors of 9249 and 9255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9249 and 9255.

How to find the GCF of 9249 and 9255?

We will first find the prime factorization of 9249 and 9255. After we will calculate the factors of 9249 and 9255 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 9255

Prime factors of 9255 are 3, 5, 617. Prime factorization of 9255 in exponential form is:

9255 = 3¹ × 5¹ × 617¹

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 9255

List of positive integer factors of 9255 that divides 9249 without a remainder.

1, 3, 5, 15, 617, 1851, 3085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9249 and 9255. The biggest common factor number is the GCF number.
So the greatest common factor 9249 and 9255 is 3.

Also check out the Least Common Multiple of 9249 and 9255