What is the Greatest Common Factor of 16875 and 16881?

Greatest common factor (GCF) of 16875 and 16881 is 3.

GCF(16875,16881) = 3

We will now calculate the prime factors of 16875 and 16881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16875 and 16881.

How to find the GCF of 16875 and 16881?

We will first find the prime factorization of 16875 and 16881. After we will calculate the factors of 16875 and 16881 and find the biggest common factor number .

Step-1: Prime Factorization of 16875

Prime factors of 16875 are 3, 5. Prime factorization of 16875 in exponential form is:

16875 = 3³ × 5⁴

Step-2: Prime Factorization of 16881

Prime factors of 16881 are 3, 17, 331. Prime factorization of 16881 in exponential form is:

16881 = 3¹ × 17¹ × 331¹

Step-3: Factors of 16875

List of positive integer factors of 16875 that divides 16875 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 625, 675, 1125, 1875, 3375, 5625

Step-4: Factors of 16881

List of positive integer factors of 16881 that divides 16875 without a remainder.

1, 3, 17, 51, 331, 993, 5627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16875 and 16881. The biggest common factor number is the GCF number.
So the greatest common factor 16875 and 16881 is 3.

Also check out the Least Common Multiple of 16875 and 16881