What is the Greatest Common Factor of 5805 and 5822?

Greatest common factor (GCF) of 5805 and 5822 is 1.

GCF(5805,5822) = 1

We will now calculate the prime factors of 5805 and 5822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5805 and 5822.

How to find the GCF of 5805 and 5822?

We will first find the prime factorization of 5805 and 5822. After we will calculate the factors of 5805 and 5822 and find the biggest common factor number .

Step-1: Prime Factorization of 5805

Prime factors of 5805 are 3, 5, 43. Prime factorization of 5805 in exponential form is:

5805 = 3³ × 5¹ × 43¹

Step-2: Prime Factorization of 5822

Prime factors of 5822 are 2, 41, 71. Prime factorization of 5822 in exponential form is:

5822 = 2¹ × 41¹ × 71¹

Step-3: Factors of 5805

List of positive integer factors of 5805 that divides 5805 without a remainder.

1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935

Step-4: Factors of 5822

List of positive integer factors of 5822 that divides 5805 without a remainder.

1, 2, 41, 71, 82, 142, 2911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5805 and 5822. The biggest common factor number is the GCF number.
So the greatest common factor 5805 and 5822 is 1.

Also check out the Least Common Multiple of 5805 and 5822