What is the Greatest Common Factor of 41814 and 41833?

Greatest common factor (GCF) of 41814 and 41833 is 1.

GCF(41814,41833) = 1

We will now calculate the prime factors of 41814 and 41833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41814 and 41833.

How to find the GCF of 41814 and 41833?

We will first find the prime factorization of 41814 and 41833. After we will calculate the factors of 41814 and 41833 and find the biggest common factor number .

Step-1: Prime Factorization of 41814

Prime factors of 41814 are 2, 3, 23, 101. Prime factorization of 41814 in exponential form is:

41814 = 2¹ × 3² × 23¹ × 101¹

Step-2: Prime Factorization of 41833

Prime factors of 41833 are 11, 3803. Prime factorization of 41833 in exponential form is:

41833 = 11¹ × 3803¹

Step-3: Factors of 41814

List of positive integer factors of 41814 that divides 41814 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 101, 138, 202, 207, 303, 414, 606, 909, 1818, 2323, 4646, 6969, 13938, 20907

Step-4: Factors of 41833

List of positive integer factors of 41833 that divides 41814 without a remainder.

1, 11, 3803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41814 and 41833. The biggest common factor number is the GCF number.
So the greatest common factor 41814 and 41833 is 1.

Also check out the Least Common Multiple of 41814 and 41833