What is the Greatest Common Factor of 7282 and 7293?

Greatest common factor (GCF) of 7282 and 7293 is 11.

GCF(7282,7293) = 11

We will now calculate the prime factors of 7282 and 7293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7282 and 7293.

How to find the GCF of 7282 and 7293?

We will first find the prime factorization of 7282 and 7293. After we will calculate the factors of 7282 and 7293 and find the biggest common factor number .

Step-1: Prime Factorization of 7282

Prime factors of 7282 are 2, 11, 331. Prime factorization of 7282 in exponential form is:

7282 = 2¹ × 11¹ × 331¹

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 7282

List of positive integer factors of 7282 that divides 7282 without a remainder.

1, 2, 11, 22, 331, 662, 3641

Step-4: Factors of 7293

List of positive integer factors of 7293 that divides 7282 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 7282 and 7293. The biggest common factor number is the GCF number.
So the greatest common factor 7282 and 7293 is 11.

Also check out the Least Common Multiple of 7282 and 7293