What is the Greatest Common Factor of 11674 and 11686?

Greatest common factor (GCF) of 11674 and 11686 is 2.

GCF(11674,11686) = 2

We will now calculate the prime factors of 11674 and 11686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11674 and 11686.

How to find the GCF of 11674 and 11686?

We will first find the prime factorization of 11674 and 11686. After we will calculate the factors of 11674 and 11686 and find the biggest common factor number .

Step-1: Prime Factorization of 11674

Prime factors of 11674 are 2, 13, 449. Prime factorization of 11674 in exponential form is:

11674 = 2¹ × 13¹ × 449¹

Step-2: Prime Factorization of 11686

Prime factors of 11686 are 2, 5843. Prime factorization of 11686 in exponential form is:

11686 = 2¹ × 5843¹

Step-3: Factors of 11674

List of positive integer factors of 11674 that divides 11674 without a remainder.

1, 2, 13, 26, 449, 898, 5837

Step-4: Factors of 11686

List of positive integer factors of 11686 that divides 11674 without a remainder.

1, 2, 5843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11674 and 11686. The biggest common factor number is the GCF number.
So the greatest common factor 11674 and 11686 is 2.

Also check out the Least Common Multiple of 11674 and 11686