What is the Greatest Common Factor of 9234 and 9238?

Greatest common factor (GCF) of 9234 and 9238 is 2.

GCF(9234,9238) = 2

We will now calculate the prime factors of 9234 and 9238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9234 and 9238.

How to find the GCF of 9234 and 9238?

We will first find the prime factorization of 9234 and 9238. After we will calculate the factors of 9234 and 9238 and find the biggest common factor number .

Step-1: Prime Factorization of 9234

Prime factors of 9234 are 2, 3, 19. Prime factorization of 9234 in exponential form is:

9234 = 2¹ × 3⁵ × 19¹

Step-2: 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-3: Factors of 9234

List of positive integer factors of 9234 that divides 9234 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617

Step-4: Factors of 9238

List of positive integer factors of 9238 that divides 9234 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9234 and 9238. The biggest common factor number is the GCF number.
So the greatest common factor 9234 and 9238 is 2.

Also check out the Least Common Multiple of 9234 and 9238