What is the Greatest Common Factor of 27338 and 27344?

Greatest common factor (GCF) of 27338 and 27344 is 2.

GCF(27338,27344) = 2

We will now calculate the prime factors of 27338 and 27344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27338 and 27344.

How to find the GCF of 27338 and 27344?

We will first find the prime factorization of 27338 and 27344. After we will calculate the factors of 27338 and 27344 and find the biggest common factor number .

Step-1: Prime Factorization of 27338

Prime factors of 27338 are 2, 13669. Prime factorization of 27338 in exponential form is:

27338 = 2¹ × 13669¹

Step-2: Prime Factorization of 27344

Prime factors of 27344 are 2, 1709. Prime factorization of 27344 in exponential form is:

27344 = 2⁴ × 1709¹

Step-3: Factors of 27338

List of positive integer factors of 27338 that divides 27338 without a remainder.

1, 2, 13669

Step-4: Factors of 27344

List of positive integer factors of 27344 that divides 27338 without a remainder.

1, 2, 4, 8, 16, 1709, 3418, 6836, 13672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27338 and 27344. The biggest common factor number is the GCF number.
So the greatest common factor 27338 and 27344 is 2.

Also check out the Least Common Multiple of 27338 and 27344