What is the Greatest Common Factor of 9238 and 9257?

Greatest common factor (GCF) of 9238 and 9257 is 1.

GCF(9238,9257) = 1

We will now calculate the prime factors of 9238 and 9257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9238 and 9257.

How to find the GCF of 9238 and 9257?

We will first find the prime factorization of 9238 and 9257. After we will calculate the factors of 9238 and 9257 and find the biggest common factor number .

Step-1: Prime Factorization of 9238

Prime factors of 9238 are 2, 31, 149. Prime factorization of 9238 in exponential form is:

9238 = 2¹ × 31¹ × 149¹

Step-2: Prime Factorization of 9257

Prime factors of 9257 are 9257. Prime factorization of 9257 in exponential form is:

9257 = 9257¹

Step-3: Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1, 2, 31, 62, 149, 298, 4619

Step-4: Factors of 9257

List of positive integer factors of 9257 that divides 9238 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9238 and 9257. The biggest common factor number is the GCF number.
So the greatest common factor 9238 and 9257 is 1.

Also check out the Least Common Multiple of 9238 and 9257