What is the Greatest Common Factor of 41740 and 41745?

Greatest common factor (GCF) of 41740 and 41745 is 5.

GCF(41740,41745) = 5

We will now calculate the prime factors of 41740 and 41745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41740 and 41745.

How to find the GCF of 41740 and 41745?

We will first find the prime factorization of 41740 and 41745. After we will calculate the factors of 41740 and 41745 and find the biggest common factor number .

Step-1: Prime Factorization of 41740

Prime factors of 41740 are 2, 5, 2087. Prime factorization of 41740 in exponential form is:

41740 = 2² × 5¹ × 2087¹

Step-2: Prime Factorization of 41745

Prime factors of 41745 are 3, 5, 11, 23. Prime factorization of 41745 in exponential form is:

41745 = 3¹ × 5¹ × 11² × 23¹

Step-3: Factors of 41740

List of positive integer factors of 41740 that divides 41740 without a remainder.

1, 2, 4, 5, 10, 20, 2087, 4174, 8348, 10435, 20870

Step-4: Factors of 41745

List of positive integer factors of 41745 that divides 41740 without a remainder.

1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 121, 165, 253, 345, 363, 605, 759, 1265, 1815, 2783, 3795, 8349, 13915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41740 and 41745. The biggest common factor number is the GCF number.
So the greatest common factor 41740 and 41745 is 5.

Also check out the Least Common Multiple of 41740 and 41745