What is the Greatest Common Factor of 41691 and 41697?

Greatest common factor (GCF) of 41691 and 41697 is 3.

GCF(41691,41697) = 3

We will now calculate the prime factors of 41691 and 41697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41691 and 41697.

How to find the GCF of 41691 and 41697?

We will first find the prime factorization of 41691 and 41697. After we will calculate the factors of 41691 and 41697 and find the biggest common factor number .

Step-1: Prime Factorization of 41691

Prime factors of 41691 are 3, 13, 1069. Prime factorization of 41691 in exponential form is:

41691 = 3¹ × 13¹ × 1069¹

Step-2: 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-3: Factors of 41691

List of positive integer factors of 41691 that divides 41691 without a remainder.

1, 3, 13, 39, 1069, 3207, 13897

Step-4: Factors of 41697

List of positive integer factors of 41697 that divides 41691 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41691 and 41697. The biggest common factor number is the GCF number.
So the greatest common factor 41691 and 41697 is 3.

Also check out the Least Common Multiple of 41691 and 41697