What is the Greatest Common Factor of 41735 and 41740?

Greatest common factor (GCF) of 41735 and 41740 is 5.

GCF(41735,41740) = 5

We will now calculate the prime factors of 41735 and 41740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41735 and 41740.

How to find the GCF of 41735 and 41740?

We will first find the prime factorization of 41735 and 41740. After we will calculate the factors of 41735 and 41740 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 41740

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

41740 = 2² × 5¹ × 2087¹

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 41740

List of positive integer factors of 41740 that divides 41735 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41735 and 41740. The biggest common factor number is the GCF number.
So the greatest common factor 41735 and 41740 is 5.

Also check out the Least Common Multiple of 41735 and 41740