What is the Greatest Common Factor of 27344 and 27348?

Greatest common factor (GCF) of 27344 and 27348 is 4.

GCF(27344,27348) = 4

We will now calculate the prime factors of 27344 and 27348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27344 and 27348.

How to find the GCF of 27344 and 27348?

We will first find the prime factorization of 27344 and 27348. After we will calculate the factors of 27344 and 27348 and find the biggest common factor number .

Step-1: Prime Factorization of 27344

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

27344 = 2⁴ × 1709¹

Step-2: Prime Factorization of 27348

Prime factors of 27348 are 2, 3, 43, 53. Prime factorization of 27348 in exponential form is:

27348 = 2² × 3¹ × 43¹ × 53¹

Step-3: Factors of 27344

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

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

Step-4: Factors of 27348

List of positive integer factors of 27348 that divides 27344 without a remainder.

1, 2, 3, 4, 6, 12, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318, 516, 636, 2279, 4558, 6837, 9116, 13674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27344 and 27348. The biggest common factor number is the GCF number.
So the greatest common factor 27344 and 27348 is 4.

Also check out the Least Common Multiple of 27344 and 27348