What is the Greatest Common Factor of 41566 and 41578?

Greatest common factor (GCF) of 41566 and 41578 is 2.

GCF(41566,41578) = 2

We will now calculate the prime factors of 41566 and 41578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41566 and 41578.

How to find the GCF of 41566 and 41578?

We will first find the prime factorization of 41566 and 41578. After we will calculate the factors of 41566 and 41578 and find the biggest common factor number .

Step-1: Prime Factorization of 41566

Prime factors of 41566 are 2, 7, 2969. Prime factorization of 41566 in exponential form is:

41566 = 2¹ × 7¹ × 2969¹

Step-2: Prime Factorization of 41578

Prime factors of 41578 are 2, 20789. Prime factorization of 41578 in exponential form is:

41578 = 2¹ × 20789¹

Step-3: Factors of 41566

List of positive integer factors of 41566 that divides 41566 without a remainder.

1, 2, 7, 14, 2969, 5938, 20783

Step-4: Factors of 41578

List of positive integer factors of 41578 that divides 41566 without a remainder.

1, 2, 20789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41566 and 41578. The biggest common factor number is the GCF number.
So the greatest common factor 41566 and 41578 is 2.

Also check out the Least Common Multiple of 41566 and 41578