What is the Greatest Common Factor of 41088 and 41106?

Greatest common factor (GCF) of 41088 and 41106 is 6.

GCF(41088,41106) = 6

We will now calculate the prime factors of 41088 and 41106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41088 and 41106.

How to find the GCF of 41088 and 41106?

We will first find the prime factorization of 41088 and 41106. After we will calculate the factors of 41088 and 41106 and find the biggest common factor number .

Step-1: Prime Factorization of 41088

Prime factors of 41088 are 2, 3, 107. Prime factorization of 41088 in exponential form is:

41088 = 2⁷ × 3¹ × 107¹

Step-2: Prime Factorization of 41106

Prime factors of 41106 are 2, 3, 13, 17, 31. Prime factorization of 41106 in exponential form is:

41106 = 2¹ × 3¹ × 13¹ × 17¹ × 31¹

Step-3: Factors of 41088

List of positive integer factors of 41088 that divides 41088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 107, 128, 192, 214, 321, 384, 428, 642, 856, 1284, 1712, 2568, 3424, 5136, 6848, 10272, 13696, 20544

Step-4: Factors of 41106

List of positive integer factors of 41106 that divides 41088 without a remainder.

1, 2, 3, 6, 13, 17, 26, 31, 34, 39, 51, 62, 78, 93, 102, 186, 221, 403, 442, 527, 663, 806, 1054, 1209, 1326, 1581, 2418, 3162, 6851, 13702, 20553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41088 and 41106. The biggest common factor number is the GCF number.
So the greatest common factor 41088 and 41106 is 6.

Also check out the Least Common Multiple of 41088 and 41106