What is the Greatest Common Factor of 41808 and 41826?

Greatest common factor (GCF) of 41808 and 41826 is 6.

GCF(41808,41826) = 6

We will now calculate the prime factors of 41808 and 41826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41808 and 41826.

How to find the GCF of 41808 and 41826?

We will first find the prime factorization of 41808 and 41826. After we will calculate the factors of 41808 and 41826 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 41826

Prime factors of 41826 are 2, 3, 6971. Prime factorization of 41826 in exponential form is:

41826 = 2¹ × 3¹ × 6971¹

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 41826

List of positive integer factors of 41826 that divides 41808 without a remainder.

1, 2, 3, 6, 6971, 13942, 20913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41808 and 41826. The biggest common factor number is the GCF number.
So the greatest common factor 41808 and 41826 is 6.

Also check out the Least Common Multiple of 41808 and 41826