What is the Greatest Common Factor of 5768 and 5775?

Greatest common factor (GCF) of 5768 and 5775 is 7.

GCF(5768,5775) = 7

We will now calculate the prime factors of 5768 and 5775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5768 and 5775.

How to find the GCF of 5768 and 5775?

We will first find the prime factorization of 5768 and 5775. After we will calculate the factors of 5768 and 5775 and find the biggest common factor number .

Step-1: Prime Factorization of 5768

Prime factors of 5768 are 2, 7, 103. Prime factorization of 5768 in exponential form is:

5768 = 2³ × 7¹ × 103¹

Step-2: 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-3: Factors of 5768

List of positive integer factors of 5768 that divides 5768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884

Step-4: Factors of 5775

List of positive integer factors of 5775 that divides 5768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5768 and 5775. The biggest common factor number is the GCF number.
So the greatest common factor 5768 and 5775 is 7.

Also check out the Least Common Multiple of 5768 and 5775