What is the Greatest Common Factor of 9238 and 9256?

Greatest common factor (GCF) of 9238 and 9256 is 2.

GCF(9238,9256) = 2

We will now calculate the prime factors of 9238 and 9256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9238 and 9256.

How to find the GCF of 9238 and 9256?

We will first find the prime factorization of 9238 and 9256. After we will calculate the factors of 9238 and 9256 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 9256

Prime factors of 9256 are 2, 13, 89. Prime factorization of 9256 in exponential form is:

9256 = 2³ × 13¹ × 89¹

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 9256

List of positive integer factors of 9256 that divides 9238 without a remainder.

1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9238 and 9256. The biggest common factor number is the GCF number.
So the greatest common factor 9238 and 9256 is 2.

Also check out the Least Common Multiple of 9238 and 9256