What is the Greatest Common Factor of 9261 and 9277?

Greatest common factor (GCF) of 9261 and 9277 is 1.

GCF(9261,9277) = 1

We will now calculate the prime factors of 9261 and 9277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9261 and 9277.

How to find the GCF of 9261 and 9277?

We will first find the prime factorization of 9261 and 9277. After we will calculate the factors of 9261 and 9277 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 9277

Prime factors of 9277 are 9277. Prime factorization of 9277 in exponential form is:

9277 = 9277¹

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 9277

List of positive integer factors of 9277 that divides 9261 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9261 and 9277. The biggest common factor number is the GCF number.
So the greatest common factor 9261 and 9277 is 1.

Also check out the Least Common Multiple of 9261 and 9277