What is the Greatest Common Factor of 14329 and 14336?

Greatest common factor (GCF) of 14329 and 14336 is 7.

GCF(14329,14336) = 7

We will now calculate the prime factors of 14329 and 14336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14329 and 14336.

How to find the GCF of 14329 and 14336?

We will first find the prime factorization of 14329 and 14336. After we will calculate the factors of 14329 and 14336 and find the biggest common factor number .

Step-1: Prime Factorization of 14329

Prime factors of 14329 are 7, 23, 89. Prime factorization of 14329 in exponential form is:

14329 = 7¹ × 23¹ × 89¹

Step-2: Prime Factorization of 14336

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

14336 = 2¹¹ × 7¹

Step-3: Factors of 14329

List of positive integer factors of 14329 that divides 14329 without a remainder.

1, 7, 23, 89, 161, 623, 2047

Step-4: Factors of 14336

List of positive integer factors of 14336 that divides 14329 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14329 and 14336. The biggest common factor number is the GCF number.
So the greatest common factor 14329 and 14336 is 7.

Also check out the Least Common Multiple of 14329 and 14336