What is the Greatest Common Factor of 14336 and 14343?

Greatest common factor (GCF) of 14336 and 14343 is 7.

GCF(14336,14343) = 7

We will now calculate the prime factors of 14336 and 14343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14336 and 14343.

How to find the GCF of 14336 and 14343?

We will first find the prime factorization of 14336 and 14343. After we will calculate the factors of 14336 and 14343 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 14343

Prime factors of 14343 are 3, 7, 683. Prime factorization of 14343 in exponential form is:

14343 = 3¹ × 7¹ × 683¹

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 14343

List of positive integer factors of 14343 that divides 14336 without a remainder.

1, 3, 7, 21, 683, 2049, 4781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14336 and 14343. The biggest common factor number is the GCF number.
So the greatest common factor 14336 and 14343 is 7.

Also check out the Least Common Multiple of 14336 and 14343