What is the Greatest Common Factor of 41805 and 41823?

Greatest common factor (GCF) of 41805 and 41823 is 9.

GCF(41805,41823) = 9

We will now calculate the prime factors of 41805 and 41823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41805 and 41823.

How to find the GCF of 41805 and 41823?

We will first find the prime factorization of 41805 and 41823. After we will calculate the factors of 41805 and 41823 and find the biggest common factor number .

Step-1: Prime Factorization of 41805

Prime factors of 41805 are 3, 5, 929. Prime factorization of 41805 in exponential form is:

41805 = 3² × 5¹ × 929¹

Step-2: Prime Factorization of 41823

Prime factors of 41823 are 3, 1549. Prime factorization of 41823 in exponential form is:

41823 = 3³ × 1549¹

Step-3: Factors of 41805

List of positive integer factors of 41805 that divides 41805 without a remainder.

1, 3, 5, 9, 15, 45, 929, 2787, 4645, 8361, 13935

Step-4: Factors of 41823

List of positive integer factors of 41823 that divides 41805 without a remainder.

1, 3, 9, 27, 1549, 4647, 13941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41805 and 41823. The biggest common factor number is the GCF number.
So the greatest common factor 41805 and 41823 is 9.

Also check out the Least Common Multiple of 41805 and 41823