What is the Greatest Common Factor of 16887 and 16901?

Greatest common factor (GCF) of 16887 and 16901 is 1.

GCF(16887,16901) = 1

We will now calculate the prime factors of 16887 and 16901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16887 and 16901.

How to find the GCF of 16887 and 16901?

We will first find the prime factorization of 16887 and 16901. After we will calculate the factors of 16887 and 16901 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 16901

Prime factors of 16901 are 16901. Prime factorization of 16901 in exponential form is:

16901 = 16901¹

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 16901

List of positive integer factors of 16901 that divides 16887 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16887 and 16901. The biggest common factor number is the GCF number.
So the greatest common factor 16887 and 16901 is 1.

Also check out the Least Common Multiple of 16887 and 16901