What is the Greatest Common Factor of 5760 and 5771?

Greatest common factor (GCF) of 5760 and 5771 is 1.

GCF(5760,5771) = 1

We will now calculate the prime factors of 5760 and 5771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5760 and 5771.

How to find the GCF of 5760 and 5771?

We will first find the prime factorization of 5760 and 5771. After we will calculate the factors of 5760 and 5771 and find the biggest common factor number .

Step-1: Prime Factorization of 5760

Prime factors of 5760 are 2, 3, 5. Prime factorization of 5760 in exponential form is:

5760 = 2⁷ × 3² × 5¹

Step-2: Prime Factorization of 5771

Prime factors of 5771 are 29, 199. Prime factorization of 5771 in exponential form is:

5771 = 29¹ × 199¹

Step-3: Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880

Step-4: Factors of 5771

List of positive integer factors of 5771 that divides 5760 without a remainder.

1, 29, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5760 and 5771. The biggest common factor number is the GCF number.
So the greatest common factor 5760 and 5771 is 1.

Also check out the Least Common Multiple of 5760 and 5771