What is the Greatest Common Factor of 9234 and 9253?

Greatest common factor (GCF) of 9234 and 9253 is 19.

GCF(9234,9253) = 19

We will now calculate the prime factors of 9234 and 9253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9234 and 9253.

How to find the GCF of 9234 and 9253?

We will first find the prime factorization of 9234 and 9253. After we will calculate the factors of 9234 and 9253 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 9253

Prime factors of 9253 are 19, 487. Prime factorization of 9253 in exponential form is:

9253 = 19¹ × 487¹

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 9253

List of positive integer factors of 9253 that divides 9234 without a remainder.

1, 19, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9234 and 9253. The biggest common factor number is the GCF number.
So the greatest common factor 9234 and 9253 is 19.

Also check out the Least Common Multiple of 9234 and 9253