What is the Greatest Common Factor of 14336 and 14352?

Greatest common factor (GCF) of 14336 and 14352 is 16.

GCF(14336,14352) = 16

We will now calculate the prime factors of 14336 and 14352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14336 and 14352.

How to find the GCF of 14336 and 14352?

We will first find the prime factorization of 14336 and 14352. After we will calculate the factors of 14336 and 14352 and find the biggest common factor number .

Step-1: Prime Factorization of 14336

Prime factors of 14336 are 2, 7. Prime factorization of 14336 in exponential form is:

14336 = 2¹¹ × 7¹

Step-2: 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-3: Factors of 14336

List of positive integer factors of 14336 that divides 14336 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 2048, 3584, 7168

Step-4: Factors of 14352

List of positive integer factors of 14352 that divides 14336 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14336 and 14352. The biggest common factor number is the GCF number.
So the greatest common factor 14336 and 14352 is 16.

Also check out the Least Common Multiple of 14336 and 14352