What is the Greatest Common Factor of 14430 and 14445?

Greatest common factor (GCF) of 14430 and 14445 is 15.

GCF(14430,14445) = 15

We will now calculate the prime factors of 14430 and 14445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14430 and 14445.

How to find the GCF of 14430 and 14445?

We will first find the prime factorization of 14430 and 14445. After we will calculate the factors of 14430 and 14445 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 14445

Prime factors of 14445 are 3, 5, 107. Prime factorization of 14445 in exponential form is:

14445 = 3³ × 5¹ × 107¹

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 14445

List of positive integer factors of 14445 that divides 14430 without a remainder.

1, 3, 5, 9, 15, 27, 45, 107, 135, 321, 535, 963, 1605, 2889, 4815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14430 and 14445. The biggest common factor number is the GCF number.
So the greatest common factor 14430 and 14445 is 15.

Also check out the Least Common Multiple of 14430 and 14445