What is the Greatest Common Factor of 5775 and 5786?

Greatest common factor (GCF) of 5775 and 5786 is 11.

GCF(5775,5786) = 11

We will now calculate the prime factors of 5775 and 5786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5775 and 5786.

How to find the GCF of 5775 and 5786?

We will first find the prime factorization of 5775 and 5786. After we will calculate the factors of 5775 and 5786 and find the biggest common factor number .

Step-1: Prime Factorization of 5775

Prime factors of 5775 are 3, 5, 7, 11. Prime factorization of 5775 in exponential form is:

5775 = 3¹ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 5786

Prime factors of 5786 are 2, 11, 263. Prime factorization of 5786 in exponential form is:

5786 = 2¹ × 11¹ × 263¹

Step-3: Factors of 5775

List of positive integer factors of 5775 that divides 5775 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925

Step-4: Factors of 5786

List of positive integer factors of 5786 that divides 5775 without a remainder.

1, 2, 11, 22, 263, 526, 2893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5775 and 5786. The biggest common factor number is the GCF number.
So the greatest common factor 5775 and 5786 is 11.

Also check out the Least Common Multiple of 5775 and 5786