What is the Greatest Common Factor of 13806 and 13826?

Greatest common factor (GCF) of 13806 and 13826 is 2.

GCF(13806,13826) = 2

We will now calculate the prime factors of 13806 and 13826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13806 and 13826.

How to find the GCF of 13806 and 13826?

We will first find the prime factorization of 13806 and 13826. After we will calculate the factors of 13806 and 13826 and find the biggest common factor number .

Step-1: Prime Factorization of 13806

Prime factors of 13806 are 2, 3, 13, 59. Prime factorization of 13806 in exponential form is:

13806 = 2¹ × 3² × 13¹ × 59¹

Step-2: Prime Factorization of 13826

Prime factors of 13826 are 2, 31, 223. Prime factorization of 13826 in exponential form is:

13826 = 2¹ × 31¹ × 223¹

Step-3: Factors of 13806

List of positive integer factors of 13806 that divides 13806 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 59, 78, 117, 118, 177, 234, 354, 531, 767, 1062, 1534, 2301, 4602, 6903

Step-4: Factors of 13826

List of positive integer factors of 13826 that divides 13806 without a remainder.

1, 2, 31, 62, 223, 446, 6913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13806 and 13826. The biggest common factor number is the GCF number.
So the greatest common factor 13806 and 13826 is 2.

Also check out the Least Common Multiple of 13806 and 13826