What is the Greatest Common Factor of 14406 and 14423?

Greatest common factor (GCF) of 14406 and 14423 is 1.

GCF(14406,14423) = 1

We will now calculate the prime factors of 14406 and 14423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14406 and 14423.

How to find the GCF of 14406 and 14423?

We will first find the prime factorization of 14406 and 14423. After we will calculate the factors of 14406 and 14423 and find the biggest common factor number .

Step-1: Prime Factorization of 14406

Prime factors of 14406 are 2, 3, 7. Prime factorization of 14406 in exponential form is:

14406 = 2¹ × 3¹ × 7⁴

Step-2: Prime Factorization of 14423

Prime factors of 14423 are 14423. Prime factorization of 14423 in exponential form is:

14423 = 14423¹

Step-3: Factors of 14406

List of positive integer factors of 14406 that divides 14406 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058, 2401, 4802, 7203

Step-4: Factors of 14423

List of positive integer factors of 14423 that divides 14406 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14406 and 14423. The biggest common factor number is the GCF number.
So the greatest common factor 14406 and 14423 is 1.

Also check out the Least Common Multiple of 14406 and 14423