What is the Greatest Common Factor of 14330 and 14340?

Greatest common factor (GCF) of 14330 and 14340 is 10.

GCF(14330,14340) = 10

We will now calculate the prime factors of 14330 and 14340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14330 and 14340.

How to find the GCF of 14330 and 14340?

We will first find the prime factorization of 14330 and 14340. After we will calculate the factors of 14330 and 14340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14340

Prime factors of 14340 are 2, 3, 5, 239. Prime factorization of 14340 in exponential form is:

14340 = 2² × 3¹ × 5¹ × 239¹

Step-3: Factors of 14330

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

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

Step-4: Factors of 14340

List of positive integer factors of 14340 that divides 14330 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 239, 478, 717, 956, 1195, 1434, 2390, 2868, 3585, 4780, 7170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14330 and 14340. The biggest common factor number is the GCF number.
So the greatest common factor 14330 and 14340 is 10.

Also check out the Least Common Multiple of 14330 and 14340