What is the Greatest Common Factor of 16869 and 16875?

Greatest common factor (GCF) of 16869 and 16875 is 3.

GCF(16869,16875) = 3

We will now calculate the prime factors of 16869 and 16875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16869 and 16875.

How to find the GCF of 16869 and 16875?

We will first find the prime factorization of 16869 and 16875. After we will calculate the factors of 16869 and 16875 and find the biggest common factor number .

Step-1: Prime Factorization of 16869

Prime factors of 16869 are 3, 5623. Prime factorization of 16869 in exponential form is:

16869 = 3¹ × 5623¹

Step-2: Prime Factorization of 16875

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

16875 = 3³ × 5⁴

Step-3: Factors of 16869

List of positive integer factors of 16869 that divides 16869 without a remainder.

1, 3, 5623

Step-4: Factors of 16875

List of positive integer factors of 16875 that divides 16869 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16869 and 16875. The biggest common factor number is the GCF number.
So the greatest common factor 16869 and 16875 is 3.

Also check out the Least Common Multiple of 16869 and 16875