What is the Greatest Common Factor of 5709 and 5729?

Greatest common factor (GCF) of 5709 and 5729 is 1.

GCF(5709,5729) = 1

We will now calculate the prime factors of 5709 and 5729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5709 and 5729.

How to find the GCF of 5709 and 5729?

We will first find the prime factorization of 5709 and 5729. After we will calculate the factors of 5709 and 5729 and find the biggest common factor number .

Step-1: Prime Factorization of 5709

Prime factors of 5709 are 3, 11, 173. Prime factorization of 5709 in exponential form is:

5709 = 3¹ × 11¹ × 173¹

Step-2: Prime Factorization of 5729

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

5729 = 17¹ × 337¹

Step-3: Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1, 3, 11, 33, 173, 519, 1903

Step-4: Factors of 5729

List of positive integer factors of 5729 that divides 5709 without a remainder.

1, 17, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5709 and 5729. The biggest common factor number is the GCF number.
So the greatest common factor 5709 and 5729 is 1.

Also check out the Least Common Multiple of 5709 and 5729