What is the Greatest Common Factor of 16870 and 16875?

Greatest common factor (GCF) of 16870 and 16875 is 5.

GCF(16870,16875) = 5

We will now calculate the prime factors of 16870 and 16875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16870 and 16875.

How to find the GCF of 16870 and 16875?

We will first find the prime factorization of 16870 and 16875. After we will calculate the factors of 16870 and 16875 and find the biggest common factor number .

Step-1: Prime Factorization of 16870

Prime factors of 16870 are 2, 5, 7, 241. Prime factorization of 16870 in exponential form is:

16870 = 2¹ × 5¹ × 7¹ × 241¹

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 16870

List of positive integer factors of 16870 that divides 16870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 241, 482, 1205, 1687, 2410, 3374, 8435

Step-4: Factors of 16875

List of positive integer factors of 16875 that divides 16870 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 16870 and 16875. The biggest common factor number is the GCF number.
So the greatest common factor 16870 and 16875 is 5.

Also check out the Least Common Multiple of 16870 and 16875