What is the Greatest Common Factor of 65805 and 65823?

Greatest common factor (GCF) of 65805 and 65823 is 3.

GCF(65805,65823) = 3

We will now calculate the prime factors of 65805 and 65823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65805 and 65823.

How to find the GCF of 65805 and 65823?

We will first find the prime factorization of 65805 and 65823. After we will calculate the factors of 65805 and 65823 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 65823

Prime factors of 65823 are 3, 37, 593. Prime factorization of 65823 in exponential form is:

65823 = 3¹ × 37¹ × 593¹

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 65823

List of positive integer factors of 65823 that divides 65805 without a remainder.

1, 3, 37, 111, 593, 1779, 21941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65805 and 65823. The biggest common factor number is the GCF number.
So the greatest common factor 65805 and 65823 is 3.

Also check out the Least Common Multiple of 65805 and 65823