What is the Greatest Common Factor of 5775 and 5789?

Greatest common factor (GCF) of 5775 and 5789 is 7.

GCF(5775,5789) = 7

We will now calculate the prime factors of 5775 and 5789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5775 and 5789.

How to find the GCF of 5775 and 5789?

We will first find the prime factorization of 5775 and 5789. After we will calculate the factors of 5775 and 5789 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 5789

Prime factors of 5789 are 7, 827. Prime factorization of 5789 in exponential form is:

5789 = 7¹ × 827¹

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 5789

List of positive integer factors of 5789 that divides 5775 without a remainder.

1, 7, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5775 and 5789. The biggest common factor number is the GCF number.
So the greatest common factor 5775 and 5789 is 7.

Also check out the Least Common Multiple of 5775 and 5789