What is the Greatest Common Factor of 5338 and 5355?

Greatest common factor (GCF) of 5338 and 5355 is 17.

GCF(5338,5355) = 17

We will now calculate the prime factors of 5338 and 5355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5338 and 5355.

How to find the GCF of 5338 and 5355?

We will first find the prime factorization of 5338 and 5355. After we will calculate the factors of 5338 and 5355 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 5355

Prime factors of 5355 are 3, 5, 7, 17. Prime factorization of 5355 in exponential form is:

5355 = 3² × 5¹ × 7¹ × 17¹

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 5355

List of positive integer factors of 5355 that divides 5338 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5338 and 5355. The biggest common factor number is the GCF number.
So the greatest common factor 5338 and 5355 is 17.

Also check out the Least Common Multiple of 5338 and 5355