What is the Greatest Common Factor of 11679 and 11697?

Greatest common factor (GCF) of 11679 and 11697 is 3.

GCF(11679,11697) = 3

We will now calculate the prime factors of 11679 and 11697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11679 and 11697.

How to find the GCF of 11679 and 11697?

We will first find the prime factorization of 11679 and 11697. After we will calculate the factors of 11679 and 11697 and find the biggest common factor number .

Step-1: Prime Factorization of 11679

Prime factors of 11679 are 3, 17, 229. Prime factorization of 11679 in exponential form is:

11679 = 3¹ × 17¹ × 229¹

Step-2: 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-3: Factors of 11679

List of positive integer factors of 11679 that divides 11679 without a remainder.

1, 3, 17, 51, 229, 687, 3893

Step-4: Factors of 11697

List of positive integer factors of 11697 that divides 11679 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11679 and 11697. The biggest common factor number is the GCF number.
So the greatest common factor 11679 and 11697 is 3.

Also check out the Least Common Multiple of 11679 and 11697