What is the Greatest Common Factor of 9254 and 9268?

Greatest common factor (GCF) of 9254 and 9268 is 14.

GCF(9254,9268) = 14

We will now calculate the prime factors of 9254 and 9268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9254 and 9268.

How to find the GCF of 9254 and 9268?

We will first find the prime factorization of 9254 and 9268. After we will calculate the factors of 9254 and 9268 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 9268

Prime factors of 9268 are 2, 7, 331. Prime factorization of 9268 in exponential form is:

9268 = 2² × 7¹ × 331¹

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 9268

List of positive integer factors of 9268 that divides 9254 without a remainder.

1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9254 and 9268. The biggest common factor number is the GCF number.
So the greatest common factor 9254 and 9268 is 14.

Also check out the Least Common Multiple of 9254 and 9268