What is the Greatest Common Factor of 14336 and 14348?

Greatest common factor (GCF) of 14336 and 14348 is 4.

GCF(14336,14348) = 4

We will now calculate the prime factors of 14336 and 14348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14336 and 14348.

How to find the GCF of 14336 and 14348?

We will first find the prime factorization of 14336 and 14348. After we will calculate the factors of 14336 and 14348 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 14348

Prime factors of 14348 are 2, 17, 211. Prime factorization of 14348 in exponential form is:

14348 = 2² × 17¹ × 211¹

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 14348

List of positive integer factors of 14348 that divides 14336 without a remainder.

1, 2, 4, 17, 34, 68, 211, 422, 844, 3587, 7174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14336 and 14348. The biggest common factor number is the GCF number.
So the greatest common factor 14336 and 14348 is 4.

Also check out the Least Common Multiple of 14336 and 14348