What is the Greatest Common Factor of 9238 and 9251?

Greatest common factor (GCF) of 9238 and 9251 is 1.

GCF(9238,9251) = 1

We will now calculate the prime factors of 9238 and 9251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9238 and 9251.

How to find the GCF of 9238 and 9251?

We will first find the prime factorization of 9238 and 9251. After we will calculate the factors of 9238 and 9251 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 9251

Prime factors of 9251 are 11, 29. Prime factorization of 9251 in exponential form is:

9251 = 11¹ × 29²

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 9251

List of positive integer factors of 9251 that divides 9238 without a remainder.

1, 11, 29, 319, 841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9238 and 9251. The biggest common factor number is the GCF number.
So the greatest common factor 9238 and 9251 is 1.

Also check out the Least Common Multiple of 9238 and 9251