What is the Greatest Common Factor of 7385 and 7390?

Greatest common factor (GCF) of 7385 and 7390 is 5.

GCF(7385,7390) = 5

We will now calculate the prime factors of 7385 and 7390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7385 and 7390.

How to find the GCF of 7385 and 7390?

We will first find the prime factorization of 7385 and 7390. After we will calculate the factors of 7385 and 7390 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7390

Prime factors of 7390 are 2, 5, 739. Prime factorization of 7390 in exponential form is:

7390 = 2¹ × 5¹ × 739¹

Step-3: Factors of 7385

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

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

Step-4: Factors of 7390

List of positive integer factors of 7390 that divides 7385 without a remainder.

1, 2, 5, 10, 739, 1478, 3695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7385 and 7390. The biggest common factor number is the GCF number.
So the greatest common factor 7385 and 7390 is 5.

Also check out the Least Common Multiple of 7385 and 7390