What is the Greatest Common Factor of 5729 and 5733?

Greatest common factor (GCF) of 5729 and 5733 is 1.

GCF(5729,5733) = 1

We will now calculate the prime factors of 5729 and 5733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5729 and 5733.

How to find the GCF of 5729 and 5733?

We will first find the prime factorization of 5729 and 5733. After we will calculate the factors of 5729 and 5733 and find the biggest common factor number .

Step-1: Prime Factorization of 5729

Prime factors of 5729 are 17, 337. Prime factorization of 5729 in exponential form is:

5729 = 17¹ × 337¹

Step-2: Prime Factorization of 5733

Prime factors of 5733 are 3, 7, 13. Prime factorization of 5733 in exponential form is:

5733 = 3² × 7² × 13¹

Step-3: Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1, 17, 337

Step-4: Factors of 5733

List of positive integer factors of 5733 that divides 5729 without a remainder.

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5729 and 5733. The biggest common factor number is the GCF number.
So the greatest common factor 5729 and 5733 is 1.

Also check out the Least Common Multiple of 5729 and 5733