What is the Greatest Common Factor of 14448 and 14453?

Greatest common factor (GCF) of 14448 and 14453 is 1.

GCF(14448,14453) = 1

We will now calculate the prime factors of 14448 and 14453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14448 and 14453.

How to find the GCF of 14448 and 14453?

We will first find the prime factorization of 14448 and 14453. After we will calculate the factors of 14448 and 14453 and find the biggest common factor number .

Step-1: Prime Factorization of 14448

Prime factors of 14448 are 2, 3, 7, 43. Prime factorization of 14448 in exponential form is:

14448 = 2⁴ × 3¹ × 7¹ × 43¹

Step-2: Prime Factorization of 14453

Prime factors of 14453 are 97, 149. Prime factorization of 14453 in exponential form is:

14453 = 97¹ × 149¹

Step-3: Factors of 14448

List of positive integer factors of 14448 that divides 14448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 43, 48, 56, 84, 86, 112, 129, 168, 172, 258, 301, 336, 344, 516, 602, 688, 903, 1032, 1204, 1806, 2064, 2408, 3612, 4816, 7224

Step-4: Factors of 14453

List of positive integer factors of 14453 that divides 14448 without a remainder.

1, 97, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14448 and 14453. The biggest common factor number is the GCF number.
So the greatest common factor 14448 and 14453 is 1.

Also check out the Least Common Multiple of 14448 and 14453