What is the Greatest Common Factor of 14415 and 14431?

Greatest common factor (GCF) of 14415 and 14431 is 1.

GCF(14415,14431) = 1

We will now calculate the prime factors of 14415 and 14431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14415 and 14431.

How to find the GCF of 14415 and 14431?

We will first find the prime factorization of 14415 and 14431. After we will calculate the factors of 14415 and 14431 and find the biggest common factor number .

Step-1: Prime Factorization of 14415

Prime factors of 14415 are 3, 5, 31. Prime factorization of 14415 in exponential form is:

14415 = 3¹ × 5¹ × 31²

Step-2: Prime Factorization of 14431

Prime factors of 14431 are 14431. Prime factorization of 14431 in exponential form is:

14431 = 14431¹

Step-3: Factors of 14415

List of positive integer factors of 14415 that divides 14415 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465, 961, 2883, 4805

Step-4: Factors of 14431

List of positive integer factors of 14431 that divides 14415 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14415 and 14431. The biggest common factor number is the GCF number.
So the greatest common factor 14415 and 14431 is 1.

Also check out the Least Common Multiple of 14415 and 14431