What is the Greatest Common Factor of 41564 and 41578?

Greatest common factor (GCF) of 41564 and 41578 is 2.

GCF(41564,41578) = 2

We will now calculate the prime factors of 41564 and 41578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41564 and 41578.

How to find the GCF of 41564 and 41578?

We will first find the prime factorization of 41564 and 41578. After we will calculate the factors of 41564 and 41578 and find the biggest common factor number .

Step-1: Prime Factorization of 41564

Prime factors of 41564 are 2, 10391. Prime factorization of 41564 in exponential form is:

41564 = 2² × 10391¹

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 41564

List of positive integer factors of 41564 that divides 41564 without a remainder.

1, 2, 4, 10391, 20782

Step-4: Factors of 41578

List of positive integer factors of 41578 that divides 41564 without a remainder.

1, 2, 20789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41564 and 41578. The biggest common factor number is the GCF number.
So the greatest common factor 41564 and 41578 is 2.

Also check out the Least Common Multiple of 41564 and 41578