What is the Greatest Common Factor of 9261 and 9273?

Greatest common factor (GCF) of 9261 and 9273 is 3.

GCF(9261,9273) = 3

We will now calculate the prime factors of 9261 and 9273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9261 and 9273.

How to find the GCF of 9261 and 9273?

We will first find the prime factorization of 9261 and 9273. After we will calculate the factors of 9261 and 9273 and find the biggest common factor number .

Step-1: Prime Factorization of 9261

Prime factors of 9261 are 3, 7. Prime factorization of 9261 in exponential form is:

9261 = 3³ × 7³

Step-2: 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-3: Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087

Step-4: Factors of 9273

List of positive integer factors of 9273 that divides 9261 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9261 and 9273. The biggest common factor number is the GCF number.
So the greatest common factor 9261 and 9273 is 3.

Also check out the Least Common Multiple of 9261 and 9273