What is the Greatest Common Factor of 41808 and 41814?

Greatest common factor (GCF) of 41808 and 41814 is 6.

GCF(41808,41814) = 6

We will now calculate the prime factors of 41808 and 41814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41808 and 41814.

How to find the GCF of 41808 and 41814?

We will first find the prime factorization of 41808 and 41814. After we will calculate the factors of 41808 and 41814 and find the biggest common factor number .

Step-1: Prime Factorization of 41808

Prime factors of 41808 are 2, 3, 13, 67. Prime factorization of 41808 in exponential form is:

41808 = 2⁴ × 3¹ × 13¹ × 67¹

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 41808

List of positive integer factors of 41808 that divides 41808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 67, 78, 104, 134, 156, 201, 208, 268, 312, 402, 536, 624, 804, 871, 1072, 1608, 1742, 2613, 3216, 3484, 5226, 6968, 10452, 13936, 20904

Step-4: Factors of 41814

List of positive integer factors of 41814 that divides 41808 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 41808 and 41814. The biggest common factor number is the GCF number.
So the greatest common factor 41808 and 41814 is 6.

Also check out the Least Common Multiple of 41808 and 41814