What is the Greatest Common Factor of 14322 and 14336?

Greatest common factor (GCF) of 14322 and 14336 is 14.

GCF(14322,14336) = 14

We will now calculate the prime factors of 14322 and 14336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14322 and 14336.

How to find the GCF of 14322 and 14336?

We will first find the prime factorization of 14322 and 14336. After we will calculate the factors of 14322 and 14336 and find the biggest common factor number .

Step-1: Prime Factorization of 14322

Prime factors of 14322 are 2, 3, 7, 11, 31. Prime factorization of 14322 in exponential form is:

14322 = 2¹ × 3¹ × 7¹ × 11¹ × 31¹

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 14322

List of positive integer factors of 14322 that divides 14322 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 31, 33, 42, 62, 66, 77, 93, 154, 186, 217, 231, 341, 434, 462, 651, 682, 1023, 1302, 2046, 2387, 4774, 7161

Step-4: Factors of 14336

List of positive integer factors of 14336 that divides 14322 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 14322 and 14336. The biggest common factor number is the GCF number.
So the greatest common factor 14322 and 14336 is 14.

Also check out the Least Common Multiple of 14322 and 14336