What is the Greatest Common Factor of 11714 and 11726?

Greatest common factor (GCF) of 11714 and 11726 is 2.

GCF(11714,11726) = 2

We will now calculate the prime factors of 11714 and 11726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11714 and 11726.

How to find the GCF of 11714 and 11726?

We will first find the prime factorization of 11714 and 11726. After we will calculate the factors of 11714 and 11726 and find the biggest common factor number .

Step-1: Prime Factorization of 11714

Prime factors of 11714 are 2, 5857. Prime factorization of 11714 in exponential form is:

11714 = 2¹ × 5857¹

Step-2: 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-3: Factors of 11714

List of positive integer factors of 11714 that divides 11714 without a remainder.

1, 2, 5857

Step-4: Factors of 11726

List of positive integer factors of 11726 that divides 11714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11714 and 11726. The biggest common factor number is the GCF number.
So the greatest common factor 11714 and 11726 is 2.

Also check out the Least Common Multiple of 11714 and 11726