What is the Greatest Common Factor of 41041 and 41054?

Greatest common factor (GCF) of 41041 and 41054 is 13.

GCF(41041,41054) = 13

We will now calculate the prime factors of 41041 and 41054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41041 and 41054.

How to find the GCF of 41041 and 41054?

We will first find the prime factorization of 41041 and 41054. After we will calculate the factors of 41041 and 41054 and find the biggest common factor number .

Step-1: Prime Factorization of 41041

Prime factors of 41041 are 7, 11, 13, 41. Prime factorization of 41041 in exponential form is:

41041 = 7¹ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 41054

Prime factors of 41054 are 2, 13, 1579. Prime factorization of 41054 in exponential form is:

41054 = 2¹ × 13¹ × 1579¹

Step-3: Factors of 41041

List of positive integer factors of 41041 that divides 41041 without a remainder.

1, 7, 11, 13, 41, 77, 91, 143, 287, 451, 533, 1001, 3157, 3731, 5863

Step-4: Factors of 41054

List of positive integer factors of 41054 that divides 41041 without a remainder.

1, 2, 13, 26, 1579, 3158, 20527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41041 and 41054. The biggest common factor number is the GCF number.
So the greatest common factor 41041 and 41054 is 13.

Also check out the Least Common Multiple of 41041 and 41054