What is the Greatest Common Factor of 41583 and 41589?

Greatest common factor (GCF) of 41583 and 41589 is 3.

GCF(41583,41589) = 3

We will now calculate the prime factors of 41583 and 41589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41583 and 41589.

How to find the GCF of 41583 and 41589?

We will first find the prime factorization of 41583 and 41589. After we will calculate the factors of 41583 and 41589 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41589

Prime factors of 41589 are 3, 4621. Prime factorization of 41589 in exponential form is:

41589 = 3² × 4621¹

Step-3: Factors of 41583

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

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

Step-4: Factors of 41589

List of positive integer factors of 41589 that divides 41583 without a remainder.

1, 3, 9, 4621, 13863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41583 and 41589. The biggest common factor number is the GCF number.
So the greatest common factor 41583 and 41589 is 3.

Also check out the Least Common Multiple of 41583 and 41589