What is the Greatest Common Factor of 13838 and 13844?

Greatest common factor (GCF) of 13838 and 13844 is 2.

GCF(13838,13844) = 2

We will now calculate the prime factors of 13838 and 13844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13838 and 13844.

How to find the GCF of 13838 and 13844?

We will first find the prime factorization of 13838 and 13844. After we will calculate the factors of 13838 and 13844 and find the biggest common factor number .

Step-1: Prime Factorization of 13838

Prime factors of 13838 are 2, 11, 17, 37. Prime factorization of 13838 in exponential form is:

13838 = 2¹ × 11¹ × 17¹ × 37¹

Step-2: Prime Factorization of 13844

Prime factors of 13844 are 2, 3461. Prime factorization of 13844 in exponential form is:

13844 = 2² × 3461¹

Step-3: Factors of 13838

List of positive integer factors of 13838 that divides 13838 without a remainder.

1, 2, 11, 17, 22, 34, 37, 74, 187, 374, 407, 629, 814, 1258, 6919

Step-4: Factors of 13844

List of positive integer factors of 13844 that divides 13838 without a remainder.

1, 2, 4, 3461, 6922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13838 and 13844. The biggest common factor number is the GCF number.
So the greatest common factor 13838 and 13844 is 2.

Also check out the Least Common Multiple of 13838 and 13844