What is the Greatest Common Factor of 16878 and 16887?

Greatest common factor (GCF) of 16878 and 16887 is 3.

GCF(16878,16887) = 3

We will now calculate the prime factors of 16878 and 16887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16878 and 16887.

How to find the GCF of 16878 and 16887?

We will first find the prime factorization of 16878 and 16887. After we will calculate the factors of 16878 and 16887 and find the biggest common factor number .

Step-1: Prime Factorization of 16878

Prime factors of 16878 are 2, 3, 29, 97. Prime factorization of 16878 in exponential form is:

16878 = 2¹ × 3¹ × 29¹ × 97¹

Step-2: Prime Factorization of 16887

Prime factors of 16887 are 3, 13, 433. Prime factorization of 16887 in exponential form is:

16887 = 3¹ × 13¹ × 433¹

Step-3: Factors of 16878

List of positive integer factors of 16878 that divides 16878 without a remainder.

1, 2, 3, 6, 29, 58, 87, 97, 174, 194, 291, 582, 2813, 5626, 8439

Step-4: Factors of 16887

List of positive integer factors of 16887 that divides 16878 without a remainder.

1, 3, 13, 39, 433, 1299, 5629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16878 and 16887. The biggest common factor number is the GCF number.
So the greatest common factor 16878 and 16887 is 3.

Also check out the Least Common Multiple of 16878 and 16887