What is the Greatest Common Factor of 41354 and 41366?

Greatest common factor (GCF) of 41354 and 41366 is 2.

GCF(41354,41366) = 2

We will now calculate the prime factors of 41354 and 41366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41354 and 41366.

How to find the GCF of 41354 and 41366?

We will first find the prime factorization of 41354 and 41366. After we will calculate the factors of 41354 and 41366 and find the biggest common factor number .

Step-1: Prime Factorization of 41354

Prime factors of 41354 are 2, 23, 29, 31. Prime factorization of 41354 in exponential form is:

41354 = 2¹ × 23¹ × 29¹ × 31¹

Step-2: Prime Factorization of 41366

Prime factors of 41366 are 2, 13, 37, 43. Prime factorization of 41366 in exponential form is:

41366 = 2¹ × 13¹ × 37¹ × 43¹

Step-3: Factors of 41354

List of positive integer factors of 41354 that divides 41354 without a remainder.

1, 2, 23, 29, 31, 46, 58, 62, 667, 713, 899, 1334, 1426, 1798, 20677

Step-4: Factors of 41366

List of positive integer factors of 41366 that divides 41354 without a remainder.

1, 2, 13, 26, 37, 43, 74, 86, 481, 559, 962, 1118, 1591, 3182, 20683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41354 and 41366. The biggest common factor number is the GCF number.
So the greatest common factor 41354 and 41366 is 2.

Also check out the Least Common Multiple of 41354 and 41366