What is the Greatest Common Factor of 41697 and 41709?

Greatest common factor (GCF) of 41697 and 41709 is 3.

GCF(41697,41709) = 3

We will now calculate the prime factors of 41697 and 41709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41697 and 41709.

How to find the GCF of 41697 and 41709?

We will first find the prime factorization of 41697 and 41709. After we will calculate the factors of 41697 and 41709 and find the biggest common factor number .

Step-1: Prime Factorization of 41697

Prime factors of 41697 are 3, 41, 113. Prime factorization of 41697 in exponential form is:

41697 = 3² × 41¹ × 113¹

Step-2: Prime Factorization of 41709

Prime factors of 41709 are 3, 13903. Prime factorization of 41709 in exponential form is:

41709 = 3¹ × 13903¹

Step-3: Factors of 41697

List of positive integer factors of 41697 that divides 41697 without a remainder.

1, 3, 9, 41, 113, 123, 339, 369, 1017, 4633, 13899

Step-4: Factors of 41709

List of positive integer factors of 41709 that divides 41697 without a remainder.

1, 3, 13903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41697 and 41709. The biggest common factor number is the GCF number.
So the greatest common factor 41697 and 41709 is 3.

Also check out the Least Common Multiple of 41697 and 41709