What is the Greatest Common Factor of 14416 and 14423?

Greatest common factor (GCF) of 14416 and 14423 is 1.

GCF(14416,14423) = 1

We will now calculate the prime factors of 14416 and 14423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14416 and 14423.

How to find the GCF of 14416 and 14423?

We will first find the prime factorization of 14416 and 14423. After we will calculate the factors of 14416 and 14423 and find the biggest common factor number .

Step-1: Prime Factorization of 14416

Prime factors of 14416 are 2, 17, 53. Prime factorization of 14416 in exponential form is:

14416 = 2⁴ × 17¹ × 53¹

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 14416

List of positive integer factors of 14416 that divides 14416 without a remainder.

1, 2, 4, 8, 16, 17, 34, 53, 68, 106, 136, 212, 272, 424, 848, 901, 1802, 3604, 7208

Step-4: Factors of 14423

List of positive integer factors of 14423 that divides 14416 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14416 and 14423. The biggest common factor number is the GCF number.
So the greatest common factor 14416 and 14423 is 1.

Also check out the Least Common Multiple of 14416 and 14423