What is the Greatest Common Factor of 14336 and 14347?

Greatest common factor (GCF) of 14336 and 14347 is 1.

GCF(14336,14347) = 1

We will now calculate the prime factors of 14336 and 14347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14336 and 14347.

How to find the GCF of 14336 and 14347?

We will first find the prime factorization of 14336 and 14347. After we will calculate the factors of 14336 and 14347 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 14347

Prime factors of 14347 are 14347. Prime factorization of 14347 in exponential form is:

14347 = 14347¹

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 14347

List of positive integer factors of 14347 that divides 14336 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14336 and 14347. The biggest common factor number is the GCF number.
So the greatest common factor 14336 and 14347 is 1.

Also check out the Least Common Multiple of 14336 and 14347