What is the Greatest Common Factor of 14430 and 14443?

Greatest common factor (GCF) of 14430 and 14443 is 13.

GCF(14430,14443) = 13

We will now calculate the prime factors of 14430 and 14443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14430 and 14443.

How to find the GCF of 14430 and 14443?

We will first find the prime factorization of 14430 and 14443. After we will calculate the factors of 14430 and 14443 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14443

Prime factors of 14443 are 11, 13, 101. Prime factorization of 14443 in exponential form is:

14443 = 11¹ × 13¹ × 101¹

Step-3: Factors of 14430

List of positive integer factors of 14430 that divides 14430 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

Step-4: Factors of 14443

List of positive integer factors of 14443 that divides 14430 without a remainder.

1, 11, 13, 101, 143, 1111, 1313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14430 and 14443. The biggest common factor number is the GCF number.
So the greatest common factor 14430 and 14443 is 13.

Also check out the Least Common Multiple of 14430 and 14443