What is the Greatest Common Factor of 11726 and 11739?

Greatest common factor (GCF) of 11726 and 11739 is 13.

GCF(11726,11739) = 13

We will now calculate the prime factors of 11726 and 11739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11726 and 11739.

How to find the GCF of 11726 and 11739?

We will first find the prime factorization of 11726 and 11739. After we will calculate the factors of 11726 and 11739 and find the biggest common factor number .

Step-1: Prime Factorization of 11726

Prime factors of 11726 are 2, 11, 13, 41. Prime factorization of 11726 in exponential form is:

11726 = 2¹ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 11739

Prime factors of 11739 are 3, 7, 13, 43. Prime factorization of 11739 in exponential form is:

11739 = 3¹ × 7¹ × 13¹ × 43¹

Step-3: Factors of 11726

List of positive integer factors of 11726 that divides 11726 without a remainder.

1, 2, 11, 13, 22, 26, 41, 82, 143, 286, 451, 533, 902, 1066, 5863

Step-4: Factors of 11739

List of positive integer factors of 11739 that divides 11726 without a remainder.

1, 3, 7, 13, 21, 39, 43, 91, 129, 273, 301, 559, 903, 1677, 3913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11726 and 11739. The biggest common factor number is the GCF number.
So the greatest common factor 11726 and 11739 is 13.

Also check out the Least Common Multiple of 11726 and 11739