What is the Greatest Common Factor of 41796 and 41814?

Greatest common factor (GCF) of 41796 and 41814 is 18.

GCF(41796,41814) = 18

We will now calculate the prime factors of 41796 and 41814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41796 and 41814.

How to find the GCF of 41796 and 41814?

We will first find the prime factorization of 41796 and 41814. After we will calculate the factors of 41796 and 41814 and find the biggest common factor number .

Step-1: Prime Factorization of 41796

Prime factors of 41796 are 2, 3, 43. Prime factorization of 41796 in exponential form is:

41796 = 2² × 3⁵ × 43¹

Step-2: 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-3: Factors of 41796

List of positive integer factors of 41796 that divides 41796 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 81, 86, 108, 129, 162, 172, 243, 258, 324, 387, 486, 516, 774, 972, 1161, 1548, 2322, 3483, 4644, 6966, 10449, 13932, 20898

Step-4: Factors of 41814

List of positive integer factors of 41814 that divides 41796 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41796 and 41814. The biggest common factor number is the GCF number.
So the greatest common factor 41796 and 41814 is 18.

Also check out the Least Common Multiple of 41796 and 41814