What is the Greatest Common Factor of 16878 and 16882?

Greatest common factor (GCF) of 16878 and 16882 is 2.

GCF(16878,16882) = 2

We will now calculate the prime factors of 16878 and 16882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16878 and 16882.

How to find the GCF of 16878 and 16882?

We will first find the prime factorization of 16878 and 16882. After we will calculate the factors of 16878 and 16882 and find the biggest common factor number .

Step-1: Prime Factorization of 16878

Prime factors of 16878 are 2, 3, 29, 97. Prime factorization of 16878 in exponential form is:

16878 = 2¹ × 3¹ × 29¹ × 97¹

Step-2: Prime Factorization of 16882

Prime factors of 16882 are 2, 23, 367. Prime factorization of 16882 in exponential form is:

16882 = 2¹ × 23¹ × 367¹

Step-3: Factors of 16878

List of positive integer factors of 16878 that divides 16878 without a remainder.

1, 2, 3, 6, 29, 58, 87, 97, 174, 194, 291, 582, 2813, 5626, 8439

Step-4: Factors of 16882

List of positive integer factors of 16882 that divides 16878 without a remainder.

1, 2, 23, 46, 367, 734, 8441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16878 and 16882. The biggest common factor number is the GCF number.
So the greatest common factor 16878 and 16882 is 2.

Also check out the Least Common Multiple of 16878 and 16882