What is the Greatest Common Factor of 74321 and 74330?

Greatest common factor (GCF) of 74321 and 74330 is 1.

GCF(74321,74330) = 1

We will now calculate the prime factors of 74321 and 74330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74321 and 74330.

How to find the GCF of 74321 and 74330?

We will first find the prime factorization of 74321 and 74330. After we will calculate the factors of 74321 and 74330 and find the biggest common factor number .

Step-1: Prime Factorization of 74321

Prime factors of 74321 are 13, 5717. Prime factorization of 74321 in exponential form is:

74321 = 13¹ × 5717¹

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 74321

List of positive integer factors of 74321 that divides 74321 without a remainder.

1, 13, 5717

Step-4: Factors of 74330

List of positive integer factors of 74330 that divides 74321 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74321 and 74330. The biggest common factor number is the GCF number.
So the greatest common factor 74321 and 74330 is 1.

Also check out the Least Common Multiple of 74321 and 74330