What is the Greatest Common Factor of 41034 and 41042?

Greatest common factor (GCF) of 41034 and 41042 is 2.

GCF(41034,41042) = 2

We will now calculate the prime factors of 41034 and 41042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41034 and 41042.

How to find the GCF of 41034 and 41042?

We will first find the prime factorization of 41034 and 41042. After we will calculate the factors of 41034 and 41042 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 41042

Prime factors of 41042 are 2, 20521. Prime factorization of 41042 in exponential form is:

41042 = 2¹ × 20521¹

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 41042

List of positive integer factors of 41042 that divides 41034 without a remainder.

1, 2, 20521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41034 and 41042. The biggest common factor number is the GCF number.
So the greatest common factor 41034 and 41042 is 2.

Also check out the Least Common Multiple of 41034 and 41042