What is the Greatest Common Factor of 7378 and 7394?

Greatest common factor (GCF) of 7378 and 7394 is 2.

GCF(7378,7394) = 2

We will now calculate the prime factors of 7378 and 7394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7378 and 7394.

How to find the GCF of 7378 and 7394?

We will first find the prime factorization of 7378 and 7394. After we will calculate the factors of 7378 and 7394 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7394

Prime factors of 7394 are 2, 3697. Prime factorization of 7394 in exponential form is:

7394 = 2¹ × 3697¹

Step-3: Factors of 7378

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

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

Step-4: Factors of 7394

List of positive integer factors of 7394 that divides 7378 without a remainder.

1, 2, 3697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7378 and 7394. The biggest common factor number is the GCF number.
So the greatest common factor 7378 and 7394 is 2.

Also check out the Least Common Multiple of 7378 and 7394