What is the Greatest Common Factor of 41038 and 41052?

Greatest common factor (GCF) of 41038 and 41052 is 2.

GCF(41038,41052) = 2

We will now calculate the prime factors of 41038 and 41052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41038 and 41052.

How to find the GCF of 41038 and 41052?

We will first find the prime factorization of 41038 and 41052. After we will calculate the factors of 41038 and 41052 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 41052

Prime factors of 41052 are 2, 3, 11, 311. Prime factorization of 41052 in exponential form is:

41052 = 2² × 3¹ × 11¹ × 311¹

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 41052

List of positive integer factors of 41052 that divides 41038 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 311, 622, 933, 1244, 1866, 3421, 3732, 6842, 10263, 13684, 20526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41038 and 41052. The biggest common factor number is the GCF number.
So the greatest common factor 41038 and 41052 is 2.

Also check out the Least Common Multiple of 41038 and 41052