What is the Greatest Common Factor of 41814 and 41829?

Greatest common factor (GCF) of 41814 and 41829 is 3.

GCF(41814,41829) = 3

We will now calculate the prime factors of 41814 and 41829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41814 and 41829.

How to find the GCF of 41814 and 41829?

We will first find the prime factorization of 41814 and 41829. After we will calculate the factors of 41814 and 41829 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 41829

Prime factors of 41829 are 3, 73, 191. Prime factorization of 41829 in exponential form is:

41829 = 3¹ × 73¹ × 191¹

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 41829

List of positive integer factors of 41829 that divides 41814 without a remainder.

1, 3, 73, 191, 219, 573, 13943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41814 and 41829. The biggest common factor number is the GCF number.
So the greatest common factor 41814 and 41829 is 3.

Also check out the Least Common Multiple of 41814 and 41829