What is the Greatest Common Factor of 7227 and 7242?

Greatest common factor (GCF) of 7227 and 7242 is 3.

GCF(7227,7242) = 3

We will now calculate the prime factors of 7227 and 7242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7227 and 7242.

How to find the GCF of 7227 and 7242?

We will first find the prime factorization of 7227 and 7242. After we will calculate the factors of 7227 and 7242 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 7242

Prime factors of 7242 are 2, 3, 17, 71. Prime factorization of 7242 in exponential form is:

7242 = 2¹ × 3¹ × 17¹ × 71¹

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 7242

List of positive integer factors of 7242 that divides 7227 without a remainder.

1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7227 and 7242. The biggest common factor number is the GCF number.
So the greatest common factor 7227 and 7242 is 3.

Also check out the Least Common Multiple of 7227 and 7242