What is the Greatest Common Factor of 41564 and 41569?

Greatest common factor (GCF) of 41564 and 41569 is 1.

GCF(41564,41569) = 1

We will now calculate the prime factors of 41564 and 41569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41564 and 41569.

How to find the GCF of 41564 and 41569?

We will first find the prime factorization of 41564 and 41569. After we will calculate the factors of 41564 and 41569 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 41569

Prime factors of 41569 are 11, 3779. Prime factorization of 41569 in exponential form is:

41569 = 11¹ × 3779¹

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 41569

List of positive integer factors of 41569 that divides 41564 without a remainder.

1, 11, 3779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41564 and 41569. The biggest common factor number is the GCF number.
So the greatest common factor 41564 and 41569 is 1.

Also check out the Least Common Multiple of 41564 and 41569