What is the Greatest Common Factor of 13887 and 13902?

Greatest common factor (GCF) of 13887 and 13902 is 3.

GCF(13887,13902) = 3

We will now calculate the prime factors of 13887 and 13902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13887 and 13902.

How to find the GCF of 13887 and 13902?

We will first find the prime factorization of 13887 and 13902. After we will calculate the factors of 13887 and 13902 and find the biggest common factor number .

Step-1: Prime Factorization of 13887

Prime factors of 13887 are 3, 1543. Prime factorization of 13887 in exponential form is:

13887 = 3² × 1543¹

Step-2: Prime Factorization of 13902

Prime factors of 13902 are 2, 3, 7, 331. Prime factorization of 13902 in exponential form is:

13902 = 2¹ × 3¹ × 7¹ × 331¹

Step-3: Factors of 13887

List of positive integer factors of 13887 that divides 13887 without a remainder.

1, 3, 9, 1543, 4629

Step-4: Factors of 13902

List of positive integer factors of 13902 that divides 13887 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 331, 662, 993, 1986, 2317, 4634, 6951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13887 and 13902. The biggest common factor number is the GCF number.
So the greatest common factor 13887 and 13902 is 3.

Also check out the Least Common Multiple of 13887 and 13902