What is the Greatest Common Factor of 7214 and 7227?

Greatest common factor (GCF) of 7214 and 7227 is 1.

GCF(7214,7227) = 1

We will now calculate the prime factors of 7214 and 7227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7214 and 7227.

How to find the GCF of 7214 and 7227?

We will first find the prime factorization of 7214 and 7227. After we will calculate the factors of 7214 and 7227 and find the biggest common factor number .

Step-1: Prime Factorization of 7214

Prime factors of 7214 are 2, 3607. Prime factorization of 7214 in exponential form is:

7214 = 2¹ × 3607¹

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 7214

List of positive integer factors of 7214 that divides 7214 without a remainder.

1, 2, 3607

Step-4: Factors of 7227

List of positive integer factors of 7227 that divides 7214 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 7214 and 7227. The biggest common factor number is the GCF number.
So the greatest common factor 7214 and 7227 is 1.

Also check out the Least Common Multiple of 7214 and 7227