What is the Greatest Common Factor of 14336 and 14349?

Greatest common factor (GCF) of 14336 and 14349 is 1.

GCF(14336,14349) = 1

We will now calculate the prime factors of 14336 and 14349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14336 and 14349.

How to find the GCF of 14336 and 14349?

We will first find the prime factorization of 14336 and 14349. After we will calculate the factors of 14336 and 14349 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 14349

Prime factors of 14349 are 3, 4783. Prime factorization of 14349 in exponential form is:

14349 = 3¹ × 4783¹

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 14349

List of positive integer factors of 14349 that divides 14336 without a remainder.

1, 3, 4783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14336 and 14349. The biggest common factor number is the GCF number.
So the greatest common factor 14336 and 14349 is 1.

Also check out the Least Common Multiple of 14336 and 14349