What is the Greatest Common Factor of 13842 and 13861?

Greatest common factor (GCF) of 13842 and 13861 is 1.

GCF(13842,13861) = 1

We will now calculate the prime factors of 13842 and 13861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13842 and 13861.

How to find the GCF of 13842 and 13861?

We will first find the prime factorization of 13842 and 13861. After we will calculate the factors of 13842 and 13861 and find the biggest common factor number .

Step-1: Prime Factorization of 13842

Prime factors of 13842 are 2, 3, 769. Prime factorization of 13842 in exponential form is:

13842 = 2¹ × 3² × 769¹

Step-2: Prime Factorization of 13861

Prime factors of 13861 are 83, 167. Prime factorization of 13861 in exponential form is:

13861 = 83¹ × 167¹

Step-3: Factors of 13842

List of positive integer factors of 13842 that divides 13842 without a remainder.

1, 2, 3, 6, 9, 18, 769, 1538, 2307, 4614, 6921

Step-4: Factors of 13861

List of positive integer factors of 13861 that divides 13842 without a remainder.

1, 83, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13842 and 13861. The biggest common factor number is the GCF number.
So the greatest common factor 13842 and 13861 is 1.

Also check out the Least Common Multiple of 13842 and 13861