What is the Greatest Common Factor of 9261 and 9269?

Greatest common factor (GCF) of 9261 and 9269 is 1.

GCF(9261,9269) = 1

We will now calculate the prime factors of 9261 and 9269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9261 and 9269.

How to find the GCF of 9261 and 9269?

We will first find the prime factorization of 9261 and 9269. After we will calculate the factors of 9261 and 9269 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 9269

Prime factors of 9269 are 13, 23, 31. Prime factorization of 9269 in exponential form is:

9269 = 13¹ × 23¹ × 31¹

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 9269

List of positive integer factors of 9269 that divides 9261 without a remainder.

1, 13, 23, 31, 299, 403, 713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9261 and 9269. The biggest common factor number is the GCF number.
So the greatest common factor 9261 and 9269 is 1.

Also check out the Least Common Multiple of 9261 and 9269