What is the Greatest Common Factor of 14415 and 14430?

Greatest common factor (GCF) of 14415 and 14430 is 15.

GCF(14415,14430) = 15

We will now calculate the prime factors of 14415 and 14430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14415 and 14430.

How to find the GCF of 14415 and 14430?

We will first find the prime factorization of 14415 and 14430. After we will calculate the factors of 14415 and 14430 and find the biggest common factor number .

Step-1: Prime Factorization of 14415

Prime factors of 14415 are 3, 5, 31. Prime factorization of 14415 in exponential form is:

14415 = 3¹ × 5¹ × 31²

Step-2: Prime Factorization of 14430

Prime factors of 14430 are 2, 3, 5, 13, 37. Prime factorization of 14430 in exponential form is:

14430 = 2¹ × 3¹ × 5¹ × 13¹ × 37¹

Step-3: Factors of 14415

List of positive integer factors of 14415 that divides 14415 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465, 961, 2883, 4805

Step-4: Factors of 14430

List of positive integer factors of 14430 that divides 14415 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 37, 39, 65, 74, 78, 111, 130, 185, 195, 222, 370, 390, 481, 555, 962, 1110, 1443, 2405, 2886, 4810, 7215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14415 and 14430. The biggest common factor number is the GCF number.
So the greatest common factor 14415 and 14430 is 15.

Also check out the Least Common Multiple of 14415 and 14430