What is the Greatest Common Factor of 7371 and 7385?

Greatest common factor (GCF) of 7371 and 7385 is 7.

GCF(7371,7385) = 7

We will now calculate the prime factors of 7371 and 7385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7371 and 7385.

How to find the GCF of 7371 and 7385?

We will first find the prime factorization of 7371 and 7385. After we will calculate the factors of 7371 and 7385 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7385

Prime factors of 7385 are 5, 7, 211. Prime factorization of 7385 in exponential form is:

7385 = 5¹ × 7¹ × 211¹

Step-3: Factors of 7371

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

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

Step-4: Factors of 7385

List of positive integer factors of 7385 that divides 7371 without a remainder.

1, 5, 7, 35, 211, 1055, 1477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7371 and 7385. The biggest common factor number is the GCF number.
So the greatest common factor 7371 and 7385 is 7.

Also check out the Least Common Multiple of 7371 and 7385