What is the Greatest Common Factor of 11697 and 11709?

Greatest common factor (GCF) of 11697 and 11709 is 3.

GCF(11697,11709) = 3

We will now calculate the prime factors of 11697 and 11709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11697 and 11709.

How to find the GCF of 11697 and 11709?

We will first find the prime factorization of 11697 and 11709. After we will calculate the factors of 11697 and 11709 and find the biggest common factor number .

Step-1: Prime Factorization of 11697

Prime factors of 11697 are 3, 7, 557. Prime factorization of 11697 in exponential form is:

11697 = 3¹ × 7¹ × 557¹

Step-2: Prime Factorization of 11709

Prime factors of 11709 are 3, 1301. Prime factorization of 11709 in exponential form is:

11709 = 3² × 1301¹

Step-3: Factors of 11697

List of positive integer factors of 11697 that divides 11697 without a remainder.

1, 3, 7, 21, 557, 1671, 3899

Step-4: Factors of 11709

List of positive integer factors of 11709 that divides 11697 without a remainder.

1, 3, 9, 1301, 3903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11697 and 11709. The biggest common factor number is the GCF number.
So the greatest common factor 11697 and 11709 is 3.

Also check out the Least Common Multiple of 11697 and 11709