What is the Greatest Common Factor of 16887 and 16905?

Greatest common factor (GCF) of 16887 and 16905 is 3.

GCF(16887,16905) = 3

We will now calculate the prime factors of 16887 and 16905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16887 and 16905.

How to find the GCF of 16887 and 16905?

We will first find the prime factorization of 16887 and 16905. After we will calculate the factors of 16887 and 16905 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16905

Prime factors of 16905 are 3, 5, 7, 23. Prime factorization of 16905 in exponential form is:

16905 = 3¹ × 5¹ × 7² × 23¹

Step-3: Factors of 16887

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

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

Step-4: Factors of 16905

List of positive integer factors of 16905 that divides 16887 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 49, 69, 105, 115, 147, 161, 245, 345, 483, 735, 805, 1127, 2415, 3381, 5635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16887 and 16905. The biggest common factor number is the GCF number.
So the greatest common factor 16887 and 16905 is 3.

Also check out the Least Common Multiple of 16887 and 16905