What is the Greatest Common Factor of 27318 and 27338?

Greatest common factor (GCF) of 27318 and 27338 is 2.

GCF(27318,27338) = 2

We will now calculate the prime factors of 27318 and 27338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27318 and 27338.

How to find the GCF of 27318 and 27338?

We will first find the prime factorization of 27318 and 27338. After we will calculate the factors of 27318 and 27338 and find the biggest common factor number .

Step-1: Prime Factorization of 27318

Prime factors of 27318 are 2, 3, 29, 157. Prime factorization of 27318 in exponential form is:

27318 = 2¹ × 3¹ × 29¹ × 157¹

Step-2: Prime Factorization of 27338

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

27338 = 2¹ × 13669¹

Step-3: Factors of 27318

List of positive integer factors of 27318 that divides 27318 without a remainder.

1, 2, 3, 6, 29, 58, 87, 157, 174, 314, 471, 942, 4553, 9106, 13659

Step-4: Factors of 27338

List of positive integer factors of 27338 that divides 27318 without a remainder.

1, 2, 13669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27318 and 27338. The biggest common factor number is the GCF number.
So the greatest common factor 27318 and 27338 is 2.

Also check out the Least Common Multiple of 27318 and 27338