What is the Greatest Common Factor of 11706 and 11721?

Greatest common factor (GCF) of 11706 and 11721 is 3.

GCF(11706,11721) = 3

We will now calculate the prime factors of 11706 and 11721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11706 and 11721.

How to find the GCF of 11706 and 11721?

We will first find the prime factorization of 11706 and 11721. After we will calculate the factors of 11706 and 11721 and find the biggest common factor number .

Step-1: Prime Factorization of 11706

Prime factors of 11706 are 2, 3, 1951. Prime factorization of 11706 in exponential form is:

11706 = 2¹ × 3¹ × 1951¹

Step-2: Prime Factorization of 11721

Prime factors of 11721 are 3, 3907. Prime factorization of 11721 in exponential form is:

11721 = 3¹ × 3907¹

Step-3: Factors of 11706

List of positive integer factors of 11706 that divides 11706 without a remainder.

1, 2, 3, 6, 1951, 3902, 5853

Step-4: Factors of 11721

List of positive integer factors of 11721 that divides 11706 without a remainder.

1, 3, 3907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11706 and 11721. The biggest common factor number is the GCF number.
So the greatest common factor 11706 and 11721 is 3.

Also check out the Least Common Multiple of 11706 and 11721