What is the Greatest Common Factor of 9254 and 9261?

Greatest common factor (GCF) of 9254 and 9261 is 7.

GCF(9254,9261) = 7

We will now calculate the prime factors of 9254 and 9261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9254 and 9261.

How to find the GCF of 9254 and 9261?

We will first find the prime factorization of 9254 and 9261. After we will calculate the factors of 9254 and 9261 and find the biggest common factor number .

Step-1: Prime Factorization of 9254

Prime factors of 9254 are 2, 7, 661. Prime factorization of 9254 in exponential form is:

9254 = 2¹ × 7¹ × 661¹

Step-2: Prime Factorization of 9261

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

9261 = 3³ × 7³

Step-3: Factors of 9254

List of positive integer factors of 9254 that divides 9254 without a remainder.

1, 2, 7, 14, 661, 1322, 4627

Step-4: Factors of 9261

List of positive integer factors of 9261 that divides 9254 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9254 and 9261. The biggest common factor number is the GCF number.
So the greatest common factor 9254 and 9261 is 7.

Also check out the Least Common Multiple of 9254 and 9261