What is the Greatest Common Factor of 16875 and 16895?

Greatest common factor (GCF) of 16875 and 16895 is 5.

GCF(16875,16895) = 5

We will now calculate the prime factors of 16875 and 16895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16875 and 16895.

How to find the GCF of 16875 and 16895?

We will first find the prime factorization of 16875 and 16895. After we will calculate the factors of 16875 and 16895 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 16895

Prime factors of 16895 are 5, 31, 109. Prime factorization of 16895 in exponential form is:

16895 = 5¹ × 31¹ × 109¹

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 16895

List of positive integer factors of 16895 that divides 16875 without a remainder.

1, 5, 31, 109, 155, 545, 3379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16875 and 16895. The biggest common factor number is the GCF number.
So the greatest common factor 16875 and 16895 is 5.

Also check out the Least Common Multiple of 16875 and 16895