What is the Greatest Common Factor of 14430 and 14437?

Greatest common factor (GCF) of 14430 and 14437 is 1.

GCF(14430,14437) = 1

We will now calculate the prime factors of 14430 and 14437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14430 and 14437.

How to find the GCF of 14430 and 14437?

We will first find the prime factorization of 14430 and 14437. After we will calculate the factors of 14430 and 14437 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 14437

Prime factors of 14437 are 14437. Prime factorization of 14437 in exponential form is:

14437 = 14437¹

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 14437

List of positive integer factors of 14437 that divides 14430 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14430 and 14437. The biggest common factor number is the GCF number.
So the greatest common factor 14430 and 14437 is 1.

Also check out the Least Common Multiple of 14430 and 14437