What is the Greatest Common Factor of 13786 and 13802?

Greatest common factor (GCF) of 13786 and 13802 is 2.

GCF(13786,13802) = 2

We will now calculate the prime factors of 13786 and 13802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13786 and 13802.

How to find the GCF of 13786 and 13802?

We will first find the prime factorization of 13786 and 13802. After we will calculate the factors of 13786 and 13802 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 13802

Prime factors of 13802 are 2, 67, 103. Prime factorization of 13802 in exponential form is:

13802 = 2¹ × 67¹ × 103¹

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 13802

List of positive integer factors of 13802 that divides 13786 without a remainder.

1, 2, 67, 103, 134, 206, 6901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13786 and 13802. The biggest common factor number is the GCF number.
So the greatest common factor 13786 and 13802 is 2.

Also check out the Least Common Multiple of 13786 and 13802