What is the Greatest Common Factor of 5304 and 5321?

Greatest common factor (GCF) of 5304 and 5321 is 17.

GCF(5304,5321) = 17

We will now calculate the prime factors of 5304 and 5321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5304 and 5321.

How to find the GCF of 5304 and 5321?

We will first find the prime factorization of 5304 and 5321. After we will calculate the factors of 5304 and 5321 and find the biggest common factor number .

Step-1: Prime Factorization of 5304

Prime factors of 5304 are 2, 3, 13, 17. Prime factorization of 5304 in exponential form is:

5304 = 2³ × 3¹ × 13¹ × 17¹

Step-2: Prime Factorization of 5321

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

5321 = 17¹ × 313¹

Step-3: Factors of 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652

Step-4: Factors of 5321

List of positive integer factors of 5321 that divides 5304 without a remainder.

1, 17, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5304 and 5321. The biggest common factor number is the GCF number.
So the greatest common factor 5304 and 5321 is 17.

Also check out the Least Common Multiple of 5304 and 5321