What is the Greatest Common Factor of 11729 and 11734?

Greatest common factor (GCF) of 11729 and 11734 is 1.

GCF(11729,11734) = 1

We will now calculate the prime factors of 11729 and 11734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11729 and 11734.

How to find the GCF of 11729 and 11734?

We will first find the prime factorization of 11729 and 11734. After we will calculate the factors of 11729 and 11734 and find the biggest common factor number .

Step-1: Prime Factorization of 11729

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

11729 = 37¹ × 317¹

Step-2: Prime Factorization of 11734

Prime factors of 11734 are 2, 5867. Prime factorization of 11734 in exponential form is:

11734 = 2¹ × 5867¹

Step-3: Factors of 11729

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

1, 37, 317

Step-4: Factors of 11734

List of positive integer factors of 11734 that divides 11729 without a remainder.

1, 2, 5867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11729 and 11734. The biggest common factor number is the GCF number.
So the greatest common factor 11729 and 11734 is 1.

Also check out the Least Common Multiple of 11729 and 11734