What is the Greatest Common Factor of 7371 and 7378?

Greatest common factor (GCF) of 7371 and 7378 is 7.

GCF(7371,7378) = 7

We will now calculate the prime factors of 7371 and 7378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7371 and 7378.

How to find the GCF of 7371 and 7378?

We will first find the prime factorization of 7371 and 7378. After we will calculate the factors of 7371 and 7378 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 7378

Prime factors of 7378 are 2, 7, 17, 31. Prime factorization of 7378 in exponential form is:

7378 = 2¹ × 7¹ × 17¹ × 31¹

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 7378

List of positive integer factors of 7378 that divides 7371 without a remainder.

1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7371 and 7378. The biggest common factor number is the GCF number.
So the greatest common factor 7371 and 7378 is 7.

Also check out the Least Common Multiple of 7371 and 7378