What is the Greatest Common Factor of 9235 and 9250?

Greatest common factor (GCF) of 9235 and 9250 is 5.

GCF(9235,9250) = 5

We will now calculate the prime factors of 9235 and 9250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9235 and 9250.

How to find the GCF of 9235 and 9250?

We will first find the prime factorization of 9235 and 9250. After we will calculate the factors of 9235 and 9250 and find the biggest common factor number .

Step-1: Prime Factorization of 9235

Prime factors of 9235 are 5, 1847. Prime factorization of 9235 in exponential form is:

9235 = 5¹ × 1847¹

Step-2: 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-3: Factors of 9235

List of positive integer factors of 9235 that divides 9235 without a remainder.

1, 5, 1847

Step-4: Factors of 9250

List of positive integer factors of 9250 that divides 9235 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9235 and 9250. The biggest common factor number is the GCF number.
So the greatest common factor 9235 and 9250 is 5.

Also check out the Least Common Multiple of 9235 and 9250