What is the Greatest Common Factor of 9217 and 9234?

Greatest common factor (GCF) of 9217 and 9234 is 1.

GCF(9217,9234) = 1

We will now calculate the prime factors of 9217 and 9234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9217 and 9234.

How to find the GCF of 9217 and 9234?

We will first find the prime factorization of 9217 and 9234. After we will calculate the factors of 9217 and 9234 and find the biggest common factor number .

Step-1: Prime Factorization of 9217

Prime factors of 9217 are 13, 709. Prime factorization of 9217 in exponential form is:

9217 = 13¹ × 709¹

Step-2: 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-3: Factors of 9217

List of positive integer factors of 9217 that divides 9217 without a remainder.

1, 13, 709

Step-4: Factors of 9234

List of positive integer factors of 9234 that divides 9217 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9217 and 9234. The biggest common factor number is the GCF number.
So the greatest common factor 9217 and 9234 is 1.

Also check out the Least Common Multiple of 9217 and 9234