What is the Greatest Common Factor of 5780 and 5786?

Greatest common factor (GCF) of 5780 and 5786 is 2.

GCF(5780,5786) = 2

We will now calculate the prime factors of 5780 and 5786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5780 and 5786.

How to find the GCF of 5780 and 5786?

We will first find the prime factorization of 5780 and 5786. After we will calculate the factors of 5780 and 5786 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 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 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 5786

List of positive integer factors of 5786 that divides 5780 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5780 and 5786. The biggest common factor number is the GCF number.
So the greatest common factor 5780 and 5786 is 2.

Also check out the Least Common Multiple of 5780 and 5786