What is the Greatest Common Factor of 41038 and 41044?

Greatest common factor (GCF) of 41038 and 41044 is 2.

GCF(41038,41044) = 2

We will now calculate the prime factors of 41038 and 41044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41038 and 41044.

How to find the GCF of 41038 and 41044?

We will first find the prime factorization of 41038 and 41044. After we will calculate the factors of 41038 and 41044 and find the biggest common factor number .

Step-1: Prime Factorization of 41038

Prime factors of 41038 are 2, 17, 71. Prime factorization of 41038 in exponential form is:

41038 = 2¹ × 17² × 71¹

Step-2: Prime Factorization of 41044

Prime factors of 41044 are 2, 31, 331. Prime factorization of 41044 in exponential form is:

41044 = 2² × 31¹ × 331¹

Step-3: Factors of 41038

List of positive integer factors of 41038 that divides 41038 without a remainder.

1, 2, 17, 34, 71, 142, 289, 578, 1207, 2414, 20519

Step-4: Factors of 41044

List of positive integer factors of 41044 that divides 41038 without a remainder.

1, 2, 4, 31, 62, 124, 331, 662, 1324, 10261, 20522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41038 and 41044. The biggest common factor number is the GCF number.
So the greatest common factor 41038 and 41044 is 2.

Also check out the Least Common Multiple of 41038 and 41044