What is the Greatest Common Factor of 65805 and 65817?

Greatest common factor (GCF) of 65805 and 65817 is 3.

GCF(65805,65817) = 3

We will now calculate the prime factors of 65805 and 65817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65805 and 65817.

How to find the GCF of 65805 and 65817?

We will first find the prime factorization of 65805 and 65817. After we will calculate the factors of 65805 and 65817 and find the biggest common factor number .

Step-1: Prime Factorization of 65805

Prime factors of 65805 are 3, 5, 41, 107. Prime factorization of 65805 in exponential form is:

65805 = 3¹ × 5¹ × 41¹ × 107¹

Step-2: Prime Factorization of 65817

Prime factors of 65817 are 3, 71, 103. Prime factorization of 65817 in exponential form is:

65817 = 3² × 71¹ × 103¹

Step-3: Factors of 65805

List of positive integer factors of 65805 that divides 65805 without a remainder.

1, 3, 5, 15, 41, 107, 123, 205, 321, 535, 615, 1605, 4387, 13161, 21935

Step-4: Factors of 65817

List of positive integer factors of 65817 that divides 65805 without a remainder.

1, 3, 9, 71, 103, 213, 309, 639, 927, 7313, 21939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65805 and 65817. The biggest common factor number is the GCF number.
So the greatest common factor 65805 and 65817 is 3.

Also check out the Least Common Multiple of 65805 and 65817