What is the Greatest Common Factor of 14310 and 14330?

Greatest common factor (GCF) of 14310 and 14330 is 10.

GCF(14310,14330) = 10

We will now calculate the prime factors of 14310 and 14330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14310 and 14330.

How to find the GCF of 14310 and 14330?

We will first find the prime factorization of 14310 and 14330. After we will calculate the factors of 14310 and 14330 and find the biggest common factor number .

Step-1: Prime Factorization of 14310

Prime factors of 14310 are 2, 3, 5, 53. Prime factorization of 14310 in exponential form is:

14310 = 2¹ × 3³ × 5¹ × 53¹

Step-2: Prime Factorization of 14330

Prime factors of 14330 are 2, 5, 1433. Prime factorization of 14330 in exponential form is:

14330 = 2¹ × 5¹ × 1433¹

Step-3: Factors of 14310

List of positive integer factors of 14310 that divides 14310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 53, 54, 90, 106, 135, 159, 265, 270, 318, 477, 530, 795, 954, 1431, 1590, 2385, 2862, 4770, 7155

Step-4: Factors of 14330

List of positive integer factors of 14330 that divides 14310 without a remainder.

1, 2, 5, 10, 1433, 2866, 7165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14310 and 14330. The biggest common factor number is the GCF number.
So the greatest common factor 14310 and 14330 is 10.

Also check out the Least Common Multiple of 14310 and 14330