What is the Greatest Common Factor of 5338 and 5344?

Greatest common factor (GCF) of 5338 and 5344 is 2.

GCF(5338,5344) = 2

We will now calculate the prime factors of 5338 and 5344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5338 and 5344.

How to find the GCF of 5338 and 5344?

We will first find the prime factorization of 5338 and 5344. After we will calculate the factors of 5338 and 5344 and find the biggest common factor number .

Step-1: Prime Factorization of 5338

Prime factors of 5338 are 2, 17, 157. Prime factorization of 5338 in exponential form is:

5338 = 2¹ × 17¹ × 157¹

Step-2: Prime Factorization of 5344

Prime factors of 5344 are 2, 167. Prime factorization of 5344 in exponential form is:

5344 = 2⁵ × 167¹

Step-3: Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1, 2, 17, 34, 157, 314, 2669

Step-4: Factors of 5344

List of positive integer factors of 5344 that divides 5338 without a remainder.

1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5338 and 5344. The biggest common factor number is the GCF number.
So the greatest common factor 5338 and 5344 is 2.

Also check out the Least Common Multiple of 5338 and 5344