What is the Greatest Common Factor of 16864 and 16875?

Greatest common factor (GCF) of 16864 and 16875 is 1.

GCF(16864,16875) = 1

We will now calculate the prime factors of 16864 and 16875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16864 and 16875.

How to find the GCF of 16864 and 16875?

We will first find the prime factorization of 16864 and 16875. After we will calculate the factors of 16864 and 16875 and find the biggest common factor number .

Step-1: Prime Factorization of 16864

Prime factors of 16864 are 2, 17, 31. Prime factorization of 16864 in exponential form is:

16864 = 2⁵ × 17¹ × 31¹

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 16864

List of positive integer factors of 16864 that divides 16864 without a remainder.

1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 68, 124, 136, 248, 272, 496, 527, 544, 992, 1054, 2108, 4216, 8432

Step-4: Factors of 16875

List of positive integer factors of 16875 that divides 16864 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 16864 and 16875. The biggest common factor number is the GCF number.
So the greatest common factor 16864 and 16875 is 1.

Also check out the Least Common Multiple of 16864 and 16875