What is the Greatest Common Factor of 41598 and 41613?

Greatest common factor (GCF) of 41598 and 41613 is 3.

GCF(41598,41613) = 3

We will now calculate the prime factors of 41598 and 41613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41598 and 41613.

How to find the GCF of 41598 and 41613?

We will first find the prime factorization of 41598 and 41613. After we will calculate the factors of 41598 and 41613 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41613

Prime factors of 41613 are 3, 11, 13, 97. Prime factorization of 41613 in exponential form is:

41613 = 3¹ × 11¹ × 13¹ × 97¹

Step-3: Factors of 41598

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

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

Step-4: Factors of 41613

List of positive integer factors of 41613 that divides 41598 without a remainder.

1, 3, 11, 13, 33, 39, 97, 143, 291, 429, 1067, 1261, 3201, 3783, 13871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41598 and 41613. The biggest common factor number is the GCF number.
So the greatest common factor 41598 and 41613 is 3.

Also check out the Least Common Multiple of 41598 and 41613