What is the Greatest Common Factor of 5780 and 5795?

Greatest common factor (GCF) of 5780 and 5795 is 5.

GCF(5780,5795) = 5

We will now calculate the prime factors of 5780 and 5795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5780 and 5795.

How to find the GCF of 5780 and 5795?

We will first find the prime factorization of 5780 and 5795. After we will calculate the factors of 5780 and 5795 and find the biggest common factor number .

Step-1: Prime Factorization of 5780

Prime factors of 5780 are 2, 5, 17. Prime factorization of 5780 in exponential form is:

5780 = 2² × 5¹ × 17²

Step-2: Prime Factorization of 5795

Prime factors of 5795 are 5, 19, 61. Prime factorization of 5795 in exponential form is:

5795 = 5¹ × 19¹ × 61¹

Step-3: Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890

Step-4: Factors of 5795

List of positive integer factors of 5795 that divides 5780 without a remainder.

1, 5, 19, 61, 95, 305, 1159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5780 and 5795. The biggest common factor number is the GCF number.
So the greatest common factor 5780 and 5795 is 5.

Also check out the Least Common Multiple of 5780 and 5795