What is the Greatest Common Factor of 74315 and 74330?

Greatest common factor (GCF) of 74315 and 74330 is 5.

GCF(74315,74330) = 5

We will now calculate the prime factors of 74315 and 74330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74315 and 74330.

How to find the GCF of 74315 and 74330?

We will first find the prime factorization of 74315 and 74330. After we will calculate the factors of 74315 and 74330 and find the biggest common factor number .

Step-1: Prime Factorization of 74315

Prime factors of 74315 are 5, 89, 167. Prime factorization of 74315 in exponential form is:

74315 = 5¹ × 89¹ × 167¹

Step-2: Prime Factorization of 74330

Prime factors of 74330 are 2, 5, 7433. Prime factorization of 74330 in exponential form is:

74330 = 2¹ × 5¹ × 7433¹

Step-3: Factors of 74315

List of positive integer factors of 74315 that divides 74315 without a remainder.

1, 5, 89, 167, 445, 835, 14863

Step-4: Factors of 74330

List of positive integer factors of 74330 that divides 74315 without a remainder.

1, 2, 5, 10, 7433, 14866, 37165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74315 and 74330. The biggest common factor number is the GCF number.
So the greatest common factor 74315 and 74330 is 5.

Also check out the Least Common Multiple of 74315 and 74330