What is the Greatest Common Factor of 41583 and 41598?

Greatest common factor (GCF) of 41583 and 41598 is 3.

GCF(41583,41598) = 3

We will now calculate the prime factors of 41583 and 41598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41583 and 41598.

How to find the GCF of 41583 and 41598?

We will first find the prime factorization of 41583 and 41598. After we will calculate the factors of 41583 and 41598 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 41598

Prime factors of 41598 are 2, 3, 2311. Prime factorization of 41598 in exponential form is:

41598 = 2¹ × 3² × 2311¹

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 41598

List of positive integer factors of 41598 that divides 41583 without a remainder.

1, 2, 3, 6, 9, 18, 2311, 4622, 6933, 13866, 20799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41583 and 41598. The biggest common factor number is the GCF number.
So the greatest common factor 41583 and 41598 is 3.

Also check out the Least Common Multiple of 41583 and 41598