What is the Greatest Common Factor of 7278 and 7293?

Greatest common factor (GCF) of 7278 and 7293 is 3.

GCF(7278,7293) = 3

We will now calculate the prime factors of 7278 and 7293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7278 and 7293.

How to find the GCF of 7278 and 7293?

We will first find the prime factorization of 7278 and 7293. After we will calculate the factors of 7278 and 7293 and find the biggest common factor number .

Step-1: Prime Factorization of 7278

Prime factors of 7278 are 2, 3, 1213. Prime factorization of 7278 in exponential form is:

7278 = 2¹ × 3¹ × 1213¹

Step-2: Prime Factorization of 7293

Prime factors of 7293 are 3, 11, 13, 17. Prime factorization of 7293 in exponential form is:

7293 = 3¹ × 11¹ × 13¹ × 17¹

Step-3: Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1, 2, 3, 6, 1213, 2426, 3639

Step-4: Factors of 7293

List of positive integer factors of 7293 that divides 7278 without a remainder.

1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7278 and 7293. The biggest common factor number is the GCF number.
So the greatest common factor 7278 and 7293 is 3.

Also check out the Least Common Multiple of 7278 and 7293