What is the Greatest Common Factor of 14336 and 14346?

Greatest common factor (GCF) of 14336 and 14346 is 2.

GCF(14336,14346) = 2

We will now calculate the prime factors of 14336 and 14346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14336 and 14346.

How to find the GCF of 14336 and 14346?

We will first find the prime factorization of 14336 and 14346. After we will calculate the factors of 14336 and 14346 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 14346

Prime factors of 14346 are 2, 3, 797. Prime factorization of 14346 in exponential form is:

14346 = 2¹ × 3² × 797¹

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 14346

List of positive integer factors of 14346 that divides 14336 without a remainder.

1, 2, 3, 6, 9, 18, 797, 1594, 2391, 4782, 7173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14336 and 14346. The biggest common factor number is the GCF number.
So the greatest common factor 14336 and 14346 is 2.

Also check out the Least Common Multiple of 14336 and 14346