What is the Greatest Common Factor of 13786 and 13806?

Greatest common factor (GCF) of 13786 and 13806 is 2.

GCF(13786,13806) = 2

We will now calculate the prime factors of 13786 and 13806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13786 and 13806.

How to find the GCF of 13786 and 13806?

We will first find the prime factorization of 13786 and 13806. After we will calculate the factors of 13786 and 13806 and find the biggest common factor number .

Step-1: Prime Factorization of 13786

Prime factors of 13786 are 2, 61, 113. Prime factorization of 13786 in exponential form is:

13786 = 2¹ × 61¹ × 113¹

Step-2: 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-3: Factors of 13786

List of positive integer factors of 13786 that divides 13786 without a remainder.

1, 2, 61, 113, 122, 226, 6893

Step-4: Factors of 13806

List of positive integer factors of 13806 that divides 13786 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13786 and 13806. The biggest common factor number is the GCF number.
So the greatest common factor 13786 and 13806 is 2.

Also check out the Least Common Multiple of 13786 and 13806