What is the Greatest Common Factor of 14438 and 14445?

Greatest common factor (GCF) of 14438 and 14445 is 1.

GCF(14438,14445) = 1

We will now calculate the prime factors of 14438 and 14445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14438 and 14445.

How to find the GCF of 14438 and 14445?

We will first find the prime factorization of 14438 and 14445. After we will calculate the factors of 14438 and 14445 and find the biggest common factor number .

Step-1: Prime Factorization of 14438

Prime factors of 14438 are 2, 7219. Prime factorization of 14438 in exponential form is:

14438 = 2¹ × 7219¹

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 14438

List of positive integer factors of 14438 that divides 14438 without a remainder.

1, 2, 7219

Step-4: Factors of 14445

List of positive integer factors of 14445 that divides 14438 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 14438 and 14445. The biggest common factor number is the GCF number.
So the greatest common factor 14438 and 14445 is 1.

Also check out the Least Common Multiple of 14438 and 14445