What is the Greatest Common Factor of 41704 and 41717?

Greatest common factor (GCF) of 41704 and 41717 is 13.

GCF(41704,41717) = 13

We will now calculate the prime factors of 41704 and 41717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41704 and 41717.

How to find the GCF of 41704 and 41717?

We will first find the prime factorization of 41704 and 41717. After we will calculate the factors of 41704 and 41717 and find the biggest common factor number .

Step-1: Prime Factorization of 41704

Prime factors of 41704 are 2, 13, 401. Prime factorization of 41704 in exponential form is:

41704 = 2³ × 13¹ × 401¹

Step-2: Prime Factorization of 41717

Prime factors of 41717 are 13, 3209. Prime factorization of 41717 in exponential form is:

41717 = 13¹ × 3209¹

Step-3: Factors of 41704

List of positive integer factors of 41704 that divides 41704 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 401, 802, 1604, 3208, 5213, 10426, 20852

Step-4: Factors of 41717

List of positive integer factors of 41717 that divides 41704 without a remainder.

1, 13, 3209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41704 and 41717. The biggest common factor number is the GCF number.
So the greatest common factor 41704 and 41717 is 13.

Also check out the Least Common Multiple of 41704 and 41717