What is the Greatest Common Factor of 41735 and 41745?

Greatest common factor (GCF) of 41735 and 41745 is 5.

GCF(41735,41745) = 5

We will now calculate the prime factors of 41735 and 41745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41735 and 41745.

How to find the GCF of 41735 and 41745?

We will first find the prime factorization of 41735 and 41745. After we will calculate the factors of 41735 and 41745 and find the biggest common factor number .

Step-1: Prime Factorization of 41735

Prime factors of 41735 are 5, 17, 491. Prime factorization of 41735 in exponential form is:

41735 = 5¹ × 17¹ × 491¹

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 41735

List of positive integer factors of 41735 that divides 41735 without a remainder.

1, 5, 17, 85, 491, 2455, 8347

Step-4: Factors of 41745

List of positive integer factors of 41745 that divides 41735 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 41735 and 41745. The biggest common factor number is the GCF number.
So the greatest common factor 41735 and 41745 is 5.

Also check out the Least Common Multiple of 41735 and 41745