What is the Greatest Common Factor of 41715 and 41735?

Greatest common factor (GCF) of 41715 and 41735 is 5.

GCF(41715,41735) = 5

We will now calculate the prime factors of 41715 and 41735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41715 and 41735.

How to find the GCF of 41715 and 41735?

We will first find the prime factorization of 41715 and 41735. After we will calculate the factors of 41715 and 41735 and find the biggest common factor number .

Step-1: Prime Factorization of 41715

Prime factors of 41715 are 3, 5, 103. Prime factorization of 41715 in exponential form is:

41715 = 3⁴ × 5¹ × 103¹

Step-2: 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-3: Factors of 41715

List of positive integer factors of 41715 that divides 41715 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 103, 135, 309, 405, 515, 927, 1545, 2781, 4635, 8343, 13905

Step-4: Factors of 41735

List of positive integer factors of 41735 that divides 41715 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41715 and 41735. The biggest common factor number is the GCF number.
So the greatest common factor 41715 and 41735 is 5.

Also check out the Least Common Multiple of 41715 and 41735