What is the Greatest Common Factor of 14424 and 14430?

Greatest common factor (GCF) of 14424 and 14430 is 6.

GCF(14424,14430) = 6

We will now calculate the prime factors of 14424 and 14430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14424 and 14430.

How to find the GCF of 14424 and 14430?

We will first find the prime factorization of 14424 and 14430. After we will calculate the factors of 14424 and 14430 and find the biggest common factor number .

Step-1: Prime Factorization of 14424

Prime factors of 14424 are 2, 3, 601. Prime factorization of 14424 in exponential form is:

14424 = 2³ × 3¹ × 601¹

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 14424

List of positive integer factors of 14424 that divides 14424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 601, 1202, 1803, 2404, 3606, 4808, 7212

Step-4: Factors of 14430

List of positive integer factors of 14430 that divides 14424 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 14424 and 14430. The biggest common factor number is the GCF number.
So the greatest common factor 14424 and 14430 is 6.

Also check out the Least Common Multiple of 14424 and 14430