What is the Greatest Common Factor of 41006 and 41012?

Greatest common factor (GCF) of 41006 and 41012 is 2.

GCF(41006,41012) = 2

We will now calculate the prime factors of 41006 and 41012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41006 and 41012.

How to find the GCF of 41006 and 41012?

We will first find the prime factorization of 41006 and 41012. After we will calculate the factors of 41006 and 41012 and find the biggest common factor number .

Step-1: Prime Factorization of 41006

Prime factors of 41006 are 2, 7, 29, 101. Prime factorization of 41006 in exponential form is:

41006 = 2¹ × 7¹ × 29¹ × 101¹

Step-2: Prime Factorization of 41012

Prime factors of 41012 are 2, 10253. Prime factorization of 41012 in exponential form is:

41012 = 2² × 10253¹

Step-3: Factors of 41006

List of positive integer factors of 41006 that divides 41006 without a remainder.

1, 2, 7, 14, 29, 58, 101, 202, 203, 406, 707, 1414, 2929, 5858, 20503

Step-4: Factors of 41012

List of positive integer factors of 41012 that divides 41006 without a remainder.

1, 2, 4, 10253, 20506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41006 and 41012. The biggest common factor number is the GCF number.
So the greatest common factor 41006 and 41012 is 2.

Also check out the Least Common Multiple of 41006 and 41012