What is the Greatest Common Factor of 7358 and 7371?

Greatest common factor (GCF) of 7358 and 7371 is 13.

GCF(7358,7371) = 13

We will now calculate the prime factors of 7358 and 7371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7358 and 7371.

How to find the GCF of 7358 and 7371?

We will first find the prime factorization of 7358 and 7371. After we will calculate the factors of 7358 and 7371 and find the biggest common factor number .

Step-1: Prime Factorization of 7358

Prime factors of 7358 are 2, 13, 283. Prime factorization of 7358 in exponential form is:

7358 = 2¹ × 13¹ × 283¹

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 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1, 2, 13, 26, 283, 566, 3679

Step-4: Factors of 7371

List of positive integer factors of 7371 that divides 7358 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 7358 and 7371. The biggest common factor number is the GCF number.
So the greatest common factor 7358 and 7371 is 13.

Also check out the Least Common Multiple of 7358 and 7371