What is the Greatest Common Factor of 41006 and 41020?

Greatest common factor (GCF) of 41006 and 41020 is 14.

GCF(41006,41020) = 14

We will now calculate the prime factors of 41006 and 41020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41006 and 41020.

How to find the GCF of 41006 and 41020?

We will first find the prime factorization of 41006 and 41020. After we will calculate the factors of 41006 and 41020 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 41020

Prime factors of 41020 are 2, 5, 7, 293. Prime factorization of 41020 in exponential form is:

41020 = 2² × 5¹ × 7¹ × 293¹

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 41020

List of positive integer factors of 41020 that divides 41006 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 293, 586, 1172, 1465, 2051, 2930, 4102, 5860, 8204, 10255, 20510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41006 and 41020. The biggest common factor number is the GCF number.
So the greatest common factor 41006 and 41020 is 14.

Also check out the Least Common Multiple of 41006 and 41020