What is the Greatest Common Factor of 14448 and 14465?

Greatest common factor (GCF) of 14448 and 14465 is 1.

GCF(14448,14465) = 1

We will now calculate the prime factors of 14448 and 14465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14448 and 14465.

How to find the GCF of 14448 and 14465?

We will first find the prime factorization of 14448 and 14465. After we will calculate the factors of 14448 and 14465 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 14465

Prime factors of 14465 are 5, 11, 263. Prime factorization of 14465 in exponential form is:

14465 = 5¹ × 11¹ × 263¹

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 14465

List of positive integer factors of 14465 that divides 14448 without a remainder.

1, 5, 11, 55, 263, 1315, 2893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14448 and 14465. The biggest common factor number is the GCF number.
So the greatest common factor 14448 and 14465 is 1.

Also check out the Least Common Multiple of 14448 and 14465