What is the Greatest Common Factor of 9219 and 9225?

Greatest common factor (GCF) of 9219 and 9225 is 3.

GCF(9219,9225) = 3

We will now calculate the prime factors of 9219 and 9225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9219 and 9225.

How to find the GCF of 9219 and 9225?

We will first find the prime factorization of 9219 and 9225. After we will calculate the factors of 9219 and 9225 and find the biggest common factor number .

Step-1: Prime Factorization of 9219

Prime factors of 9219 are 3, 7, 439. Prime factorization of 9219 in exponential form is:

9219 = 3¹ × 7¹ × 439¹

Step-2: Prime Factorization of 9225

Prime factors of 9225 are 3, 5, 41. Prime factorization of 9225 in exponential form is:

9225 = 3² × 5² × 41¹

Step-3: Factors of 9219

List of positive integer factors of 9219 that divides 9219 without a remainder.

1, 3, 7, 21, 439, 1317, 3073

Step-4: Factors of 9225

List of positive integer factors of 9225 that divides 9219 without a remainder.

1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9219 and 9225. The biggest common factor number is the GCF number.
So the greatest common factor 9219 and 9225 is 3.

Also check out the Least Common Multiple of 9219 and 9225