What is the Greatest Common Factor of 7227 and 7238?

Greatest common factor (GCF) of 7227 and 7238 is 11.

GCF(7227,7238) = 11

We will now calculate the prime factors of 7227 and 7238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7227 and 7238.

How to find the GCF of 7227 and 7238?

We will first find the prime factorization of 7227 and 7238. After we will calculate the factors of 7227 and 7238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7238

Prime factors of 7238 are 2, 7, 11, 47. Prime factorization of 7238 in exponential form is:

7238 = 2¹ × 7¹ × 11¹ × 47¹

Step-3: Factors of 7227

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

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

Step-4: Factors of 7238

List of positive integer factors of 7238 that divides 7227 without a remainder.

1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7227 and 7238. The biggest common factor number is the GCF number.
So the greatest common factor 7227 and 7238 is 11.

Also check out the Least Common Multiple of 7227 and 7238