What is the Greatest Common Factor of 41814 and 41824?

Greatest common factor (GCF) of 41814 and 41824 is 2.

GCF(41814,41824) = 2

We will now calculate the prime factors of 41814 and 41824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41814 and 41824.

How to find the GCF of 41814 and 41824?

We will first find the prime factorization of 41814 and 41824. After we will calculate the factors of 41814 and 41824 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 41824

Prime factors of 41824 are 2, 1307. Prime factorization of 41824 in exponential form is:

41824 = 2⁵ × 1307¹

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 41824

List of positive integer factors of 41824 that divides 41814 without a remainder.

1, 2, 4, 8, 16, 32, 1307, 2614, 5228, 10456, 20912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41814 and 41824. The biggest common factor number is the GCF number.
So the greatest common factor 41814 and 41824 is 2.

Also check out the Least Common Multiple of 41814 and 41824