What is the Greatest Common Factor of 14352 and 14368?

Greatest common factor (GCF) of 14352 and 14368 is 16.

GCF(14352,14368) = 16

We will now calculate the prime factors of 14352 and 14368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14352 and 14368.

How to find the GCF of 14352 and 14368?

We will first find the prime factorization of 14352 and 14368. After we will calculate the factors of 14352 and 14368 and find the biggest common factor number .

Step-1: Prime Factorization of 14352

Prime factors of 14352 are 2, 3, 13, 23. Prime factorization of 14352 in exponential form is:

14352 = 2⁴ × 3¹ × 13¹ × 23¹

Step-2: Prime Factorization of 14368

Prime factors of 14368 are 2, 449. Prime factorization of 14368 in exponential form is:

14368 = 2⁵ × 449¹

Step-3: Factors of 14352

List of positive integer factors of 14352 that divides 14352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 23, 24, 26, 39, 46, 48, 52, 69, 78, 92, 104, 138, 156, 184, 208, 276, 299, 312, 368, 552, 598, 624, 897, 1104, 1196, 1794, 2392, 3588, 4784, 7176

Step-4: Factors of 14368

List of positive integer factors of 14368 that divides 14352 without a remainder.

1, 2, 4, 8, 16, 32, 449, 898, 1796, 3592, 7184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14352 and 14368. The biggest common factor number is the GCF number.
So the greatest common factor 14352 and 14368 is 16.

Also check out the Least Common Multiple of 14352 and 14368