What is the Greatest Common Factor of 41564 and 41583?

Greatest common factor (GCF) of 41564 and 41583 is 1.

GCF(41564,41583) = 1

We will now calculate the prime factors of 41564 and 41583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41564 and 41583.

How to find the GCF of 41564 and 41583?

We will first find the prime factorization of 41564 and 41583. After we will calculate the factors of 41564 and 41583 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 41583

Prime factors of 41583 are 3, 83, 167. Prime factorization of 41583 in exponential form is:

41583 = 3¹ × 83¹ × 167¹

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 41583

List of positive integer factors of 41583 that divides 41564 without a remainder.

1, 3, 83, 167, 249, 501, 13861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41564 and 41583. The biggest common factor number is the GCF number.
So the greatest common factor 41564 and 41583 is 1.

Also check out the Least Common Multiple of 41564 and 41583