What is the Greatest Common Factor of 14448 and 14457?

Greatest common factor (GCF) of 14448 and 14457 is 3.

GCF(14448,14457) = 3

We will now calculate the prime factors of 14448 and 14457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14448 and 14457.

How to find the GCF of 14448 and 14457?

We will first find the prime factorization of 14448 and 14457. After we will calculate the factors of 14448 and 14457 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 14457

Prime factors of 14457 are 3, 61, 79. Prime factorization of 14457 in exponential form is:

14457 = 3¹ × 61¹ × 79¹

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 14457

List of positive integer factors of 14457 that divides 14448 without a remainder.

1, 3, 61, 79, 183, 237, 4819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14448 and 14457. The biggest common factor number is the GCF number.
So the greatest common factor 14448 and 14457 is 3.

Also check out the Least Common Multiple of 14448 and 14457