What is the Greatest Common Factor of 83805 and 83817?

Greatest common factor (GCF) of 83805 and 83817 is 3.

GCF(83805,83817) = 3

We will now calculate the prime factors of 83805 and 83817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83805 and 83817.

How to find the GCF of 83805 and 83817?

We will first find the prime factorization of 83805 and 83817. After we will calculate the factors of 83805 and 83817 and find the biggest common factor number .

Step-1: Prime Factorization of 83805

Prime factors of 83805 are 3, 5, 37, 151. Prime factorization of 83805 in exponential form is:

83805 = 3¹ × 5¹ × 37¹ × 151¹

Step-2: Prime Factorization of 83817

Prime factors of 83817 are 3, 67, 139. Prime factorization of 83817 in exponential form is:

83817 = 3² × 67¹ × 139¹

Step-3: Factors of 83805

List of positive integer factors of 83805 that divides 83805 without a remainder.

1, 3, 5, 15, 37, 111, 151, 185, 453, 555, 755, 2265, 5587, 16761, 27935

Step-4: Factors of 83817

List of positive integer factors of 83817 that divides 83805 without a remainder.

1, 3, 9, 67, 139, 201, 417, 603, 1251, 9313, 27939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83805 and 83817. The biggest common factor number is the GCF number.
So the greatest common factor 83805 and 83817 is 3.

Also check out the Least Common Multiple of 83805 and 83817