What is the Greatest Common Factor of 41564 and 41573?

Greatest common factor (GCF) of 41564 and 41573 is 1.

GCF(41564,41573) = 1

We will now calculate the prime factors of 41564 and 41573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41564 and 41573.

How to find the GCF of 41564 and 41573?

We will first find the prime factorization of 41564 and 41573. After we will calculate the factors of 41564 and 41573 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 41573

Prime factors of 41573 are 7, 5939. Prime factorization of 41573 in exponential form is:

41573 = 7¹ × 5939¹

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 41573

List of positive integer factors of 41573 that divides 41564 without a remainder.

1, 7, 5939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41564 and 41573. The biggest common factor number is the GCF number.
So the greatest common factor 41564 and 41573 is 1.

Also check out the Least Common Multiple of 41564 and 41573