What is the Greatest Common Factor of 7209 and 7227?

Greatest common factor (GCF) of 7209 and 7227 is 9.

GCF(7209,7227) = 9

We will now calculate the prime factors of 7209 and 7227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7209 and 7227.

How to find the GCF of 7209 and 7227?

We will first find the prime factorization of 7209 and 7227. After we will calculate the factors of 7209 and 7227 and find the biggest common factor number .

Step-1: Prime Factorization of 7209

Prime factors of 7209 are 3, 89. Prime factorization of 7209 in exponential form is:

7209 = 3⁴ × 89¹

Step-2: Prime Factorization of 7227

Prime factors of 7227 are 3, 11, 73. Prime factorization of 7227 in exponential form is:

7227 = 3² × 11¹ × 73¹

Step-3: Factors of 7209

List of positive integer factors of 7209 that divides 7209 without a remainder.

1, 3, 9, 27, 81, 89, 267, 801, 2403

Step-4: Factors of 7227

List of positive integer factors of 7227 that divides 7209 without a remainder.

1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7209 and 7227. The biggest common factor number is the GCF number.
So the greatest common factor 7209 and 7227 is 9.

Also check out the Least Common Multiple of 7209 and 7227