What is the Greatest Common Factor of 14336 and 14340?

Greatest common factor (GCF) of 14336 and 14340 is 4.

GCF(14336,14340) = 4

We will now calculate the prime factors of 14336 and 14340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14336 and 14340.

How to find the GCF of 14336 and 14340?

We will first find the prime factorization of 14336 and 14340. After we will calculate the factors of 14336 and 14340 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 14340

Prime factors of 14340 are 2, 3, 5, 239. Prime factorization of 14340 in exponential form is:

14340 = 2² × 3¹ × 5¹ × 239¹

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 14340

List of positive integer factors of 14340 that divides 14336 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 239, 478, 717, 956, 1195, 1434, 2390, 2868, 3585, 4780, 7170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14336 and 14340. The biggest common factor number is the GCF number.
So the greatest common factor 14336 and 14340 is 4.

Also check out the Least Common Multiple of 14336 and 14340