What is the Greatest Common Factor of 13842 and 13851?

Greatest common factor (GCF) of 13842 and 13851 is 9.

GCF(13842,13851) = 9

We will now calculate the prime factors of 13842 and 13851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13842 and 13851.

How to find the GCF of 13842 and 13851?

We will first find the prime factorization of 13842 and 13851. After we will calculate the factors of 13842 and 13851 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 13851

Prime factors of 13851 are 3, 19. Prime factorization of 13851 in exponential form is:

13851 = 3⁶ × 19¹

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 13851

List of positive integer factors of 13851 that divides 13842 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 729, 1539, 4617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13842 and 13851. The biggest common factor number is the GCF number.
So the greatest common factor 13842 and 13851 is 9.

Also check out the Least Common Multiple of 13842 and 13851