What is the Greatest Common Factor of 5785 and 5805?

Greatest common factor (GCF) of 5785 and 5805 is 5.

GCF(5785,5805) = 5

We will now calculate the prime factors of 5785 and 5805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5785 and 5805.

How to find the GCF of 5785 and 5805?

We will first find the prime factorization of 5785 and 5805. After we will calculate the factors of 5785 and 5805 and find the biggest common factor number .

Step-1: Prime Factorization of 5785

Prime factors of 5785 are 5, 13, 89. Prime factorization of 5785 in exponential form is:

5785 = 5¹ × 13¹ × 89¹

Step-2: 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-3: Factors of 5785

List of positive integer factors of 5785 that divides 5785 without a remainder.

1, 5, 13, 65, 89, 445, 1157

Step-4: Factors of 5805

List of positive integer factors of 5805 that divides 5785 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5785 and 5805. The biggest common factor number is the GCF number.
So the greatest common factor 5785 and 5805 is 5.

Also check out the Least Common Multiple of 5785 and 5805