What is the Greatest Common Factor of 9231 and 9245?

Greatest common factor (GCF) of 9231 and 9245 is 1.

GCF(9231,9245) = 1

We will now calculate the prime factors of 9231 and 9245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9231 and 9245.

How to find the GCF of 9231 and 9245?

We will first find the prime factorization of 9231 and 9245. After we will calculate the factors of 9231 and 9245 and find the biggest common factor number .

Step-1: Prime Factorization of 9231

Prime factors of 9231 are 3, 17, 181. Prime factorization of 9231 in exponential form is:

9231 = 3¹ × 17¹ × 181¹

Step-2: Prime Factorization of 9245

Prime factors of 9245 are 5, 43. Prime factorization of 9245 in exponential form is:

9245 = 5¹ × 43²

Step-3: Factors of 9231

List of positive integer factors of 9231 that divides 9231 without a remainder.

1, 3, 17, 51, 181, 543, 3077

Step-4: Factors of 9245

List of positive integer factors of 9245 that divides 9231 without a remainder.

1, 5, 43, 215, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9231 and 9245. The biggest common factor number is the GCF number.
So the greatest common factor 9231 and 9245 is 1.

Also check out the Least Common Multiple of 9231 and 9245