What is the Greatest Common Factor of 13858 and 13876?

Greatest common factor (GCF) of 13858 and 13876 is 2.

GCF(13858,13876) = 2

We will now calculate the prime factors of 13858 and 13876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13858 and 13876.

How to find the GCF of 13858 and 13876?

We will first find the prime factorization of 13858 and 13876. After we will calculate the factors of 13858 and 13876 and find the biggest common factor number .

Step-1: Prime Factorization of 13858

Prime factors of 13858 are 2, 13, 41. Prime factorization of 13858 in exponential form is:

13858 = 2¹ × 13² × 41¹

Step-2: Prime Factorization of 13876

Prime factors of 13876 are 2, 3469. Prime factorization of 13876 in exponential form is:

13876 = 2² × 3469¹

Step-3: Factors of 13858

List of positive integer factors of 13858 that divides 13858 without a remainder.

1, 2, 13, 26, 41, 82, 169, 338, 533, 1066, 6929

Step-4: Factors of 13876

List of positive integer factors of 13876 that divides 13858 without a remainder.

1, 2, 4, 3469, 6938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13858 and 13876. The biggest common factor number is the GCF number.
So the greatest common factor 13858 and 13876 is 2.

Also check out the Least Common Multiple of 13858 and 13876