What is the Greatest Common Factor of 14448 and 14467?

Greatest common factor (GCF) of 14448 and 14467 is 1.

GCF(14448,14467) = 1

We will now calculate the prime factors of 14448 and 14467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14448 and 14467.

How to find the GCF of 14448 and 14467?

We will first find the prime factorization of 14448 and 14467. After we will calculate the factors of 14448 and 14467 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 14467

Prime factors of 14467 are 17, 23, 37. Prime factorization of 14467 in exponential form is:

14467 = 17¹ × 23¹ × 37¹

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 14467

List of positive integer factors of 14467 that divides 14448 without a remainder.

1, 17, 23, 37, 391, 629, 851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14448 and 14467. The biggest common factor number is the GCF number.
So the greatest common factor 14448 and 14467 is 1.

Also check out the Least Common Multiple of 14448 and 14467