What is the Greatest Common Factor of 41034 and 41038?

Greatest common factor (GCF) of 41034 and 41038 is 2.

GCF(41034,41038) = 2

We will now calculate the prime factors of 41034 and 41038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41034 and 41038.

How to find the GCF of 41034 and 41038?

We will first find the prime factorization of 41034 and 41038. After we will calculate the factors of 41034 and 41038 and find the biggest common factor number .

Step-1: Prime Factorization of 41034

Prime factors of 41034 are 2, 3, 7, 977. Prime factorization of 41034 in exponential form is:

41034 = 2¹ × 3¹ × 7¹ × 977¹

Step-2: 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-3: Factors of 41034

List of positive integer factors of 41034 that divides 41034 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 977, 1954, 2931, 5862, 6839, 13678, 20517

Step-4: Factors of 41038

List of positive integer factors of 41038 that divides 41034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41034 and 41038. The biggest common factor number is the GCF number.
So the greatest common factor 41034 and 41038 is 2.

Also check out the Least Common Multiple of 41034 and 41038