What is the Greatest Common Factor of 9250 and 9259?

Greatest common factor (GCF) of 9250 and 9259 is 1.

GCF(9250,9259) = 1

We will now calculate the prime factors of 9250 and 9259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9250 and 9259.

How to find the GCF of 9250 and 9259?

We will first find the prime factorization of 9250 and 9259. After we will calculate the factors of 9250 and 9259 and find the biggest common factor number .

Step-1: Prime Factorization of 9250

Prime factors of 9250 are 2, 5, 37. Prime factorization of 9250 in exponential form is:

9250 = 2¹ × 5³ × 37¹

Step-2: Prime Factorization of 9259

Prime factors of 9259 are 47, 197. Prime factorization of 9259 in exponential form is:

9259 = 47¹ × 197¹

Step-3: Factors of 9250

List of positive integer factors of 9250 that divides 9250 without a remainder.

1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625

Step-4: Factors of 9259

List of positive integer factors of 9259 that divides 9250 without a remainder.

1, 47, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9250 and 9259. The biggest common factor number is the GCF number.
So the greatest common factor 9250 and 9259 is 1.

Also check out the Least Common Multiple of 9250 and 9259