What is the Greatest Common Factor of 11716 and 11729?

Greatest common factor (GCF) of 11716 and 11729 is 1.

GCF(11716,11729) = 1

We will now calculate the prime factors of 11716 and 11729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11716 and 11729.

How to find the GCF of 11716 and 11729?

We will first find the prime factorization of 11716 and 11729. After we will calculate the factors of 11716 and 11729 and find the biggest common factor number .

Step-1: Prime Factorization of 11716

Prime factors of 11716 are 2, 29, 101. Prime factorization of 11716 in exponential form is:

11716 = 2² × 29¹ × 101¹

Step-2: Prime Factorization of 11729

Prime factors of 11729 are 37, 317. Prime factorization of 11729 in exponential form is:

11729 = 37¹ × 317¹

Step-3: Factors of 11716

List of positive integer factors of 11716 that divides 11716 without a remainder.

1, 2, 4, 29, 58, 101, 116, 202, 404, 2929, 5858

Step-4: Factors of 11729

List of positive integer factors of 11729 that divides 11716 without a remainder.

1, 37, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11716 and 11729. The biggest common factor number is the GCF number.
So the greatest common factor 11716 and 11729 is 1.

Also check out the Least Common Multiple of 11716 and 11729