What is the Greatest Common Factor of 13886 and 13904?

Greatest common factor (GCF) of 13886 and 13904 is 2.

GCF(13886,13904) = 2

We will now calculate the prime factors of 13886 and 13904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13886 and 13904.

How to find the GCF of 13886 and 13904?

We will first find the prime factorization of 13886 and 13904. After we will calculate the factors of 13886 and 13904 and find the biggest common factor number .

Step-1: Prime Factorization of 13886

Prime factors of 13886 are 2, 53, 131. Prime factorization of 13886 in exponential form is:

13886 = 2¹ × 53¹ × 131¹

Step-2: Prime Factorization of 13904

Prime factors of 13904 are 2, 11, 79. Prime factorization of 13904 in exponential form is:

13904 = 2⁴ × 11¹ × 79¹

Step-3: Factors of 13886

List of positive integer factors of 13886 that divides 13886 without a remainder.

1, 2, 53, 106, 131, 262, 6943

Step-4: Factors of 13904

List of positive integer factors of 13904 that divides 13886 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 79, 88, 158, 176, 316, 632, 869, 1264, 1738, 3476, 6952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13886 and 13904. The biggest common factor number is the GCF number.
So the greatest common factor 13886 and 13904 is 2.

Also check out the Least Common Multiple of 13886 and 13904