What is the Greatest Common Factor of 7363 and 7371?

Greatest common factor (GCF) of 7363 and 7371 is 1.

GCF(7363,7371) = 1

We will now calculate the prime factors of 7363 and 7371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7363 and 7371.

How to find the GCF of 7363 and 7371?

We will first find the prime factorization of 7363 and 7371. After we will calculate the factors of 7363 and 7371 and find the biggest common factor number .

Step-1: Prime Factorization of 7363

Prime factors of 7363 are 37, 199. Prime factorization of 7363 in exponential form is:

7363 = 37¹ × 199¹

Step-2: Prime Factorization of 7371

Prime factors of 7371 are 3, 7, 13. Prime factorization of 7371 in exponential form is:

7371 = 3⁴ × 7¹ × 13¹

Step-3: Factors of 7363

List of positive integer factors of 7363 that divides 7363 without a remainder.

1, 37, 199

Step-4: Factors of 7371

List of positive integer factors of 7371 that divides 7363 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7363 and 7371. The biggest common factor number is the GCF number.
So the greatest common factor 7363 and 7371 is 1.

Also check out the Least Common Multiple of 7363 and 7371