What is the Greatest Common Factor of 7378 and 7385?

Greatest common factor (GCF) of 7378 and 7385 is 7.

GCF(7378,7385) = 7

We will now calculate the prime factors of 7378 and 7385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7378 and 7385.

How to find the GCF of 7378 and 7385?

We will first find the prime factorization of 7378 and 7385. After we will calculate the factors of 7378 and 7385 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 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 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 7385

List of positive integer factors of 7385 that divides 7378 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7378 and 7385. The biggest common factor number is the GCF number.
So the greatest common factor 7378 and 7385 is 7.

Also check out the Least Common Multiple of 7378 and 7385