What is the Greatest Common Factor of 13858 and 13862?

Greatest common factor (GCF) of 13858 and 13862 is 2.

GCF(13858,13862) = 2

We will now calculate the prime factors of 13858 and 13862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13858 and 13862.

How to find the GCF of 13858 and 13862?

We will first find the prime factorization of 13858 and 13862. After we will calculate the factors of 13858 and 13862 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 13862

Prime factors of 13862 are 2, 29, 239. Prime factorization of 13862 in exponential form is:

13862 = 2¹ × 29¹ × 239¹

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 13862

List of positive integer factors of 13862 that divides 13858 without a remainder.

1, 2, 29, 58, 239, 478, 6931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13858 and 13862. The biggest common factor number is the GCF number.
So the greatest common factor 13858 and 13862 is 2.

Also check out the Least Common Multiple of 13858 and 13862