What is the Greatest Common Factor of 5321 and 5338?

Greatest common factor (GCF) of 5321 and 5338 is 17.

GCF(5321,5338) = 17

We will now calculate the prime factors of 5321 and 5338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5321 and 5338.

How to find the GCF of 5321 and 5338?

We will first find the prime factorization of 5321 and 5338. After we will calculate the factors of 5321 and 5338 and find the biggest common factor number .

Step-1: Prime Factorization of 5321

Prime factors of 5321 are 17, 313. Prime factorization of 5321 in exponential form is:

5321 = 17¹ × 313¹

Step-2: 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-3: Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1, 17, 313

Step-4: Factors of 5338

List of positive integer factors of 5338 that divides 5321 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5321 and 5338. The biggest common factor number is the GCF number.
So the greatest common factor 5321 and 5338 is 17.

Also check out the Least Common Multiple of 5321 and 5338