What is the Greatest Common Factor of 16876 and 16883?

Greatest common factor (GCF) of 16876 and 16883 is 1.

GCF(16876,16883) = 1

We will now calculate the prime factors of 16876 and 16883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16876 and 16883.

How to find the GCF of 16876 and 16883?

We will first find the prime factorization of 16876 and 16883. After we will calculate the factors of 16876 and 16883 and find the biggest common factor number .

Step-1: Prime Factorization of 16876

Prime factors of 16876 are 2, 4219. Prime factorization of 16876 in exponential form is:

16876 = 2² × 4219¹

Step-2: Prime Factorization of 16883

Prime factors of 16883 are 16883. Prime factorization of 16883 in exponential form is:

16883 = 16883¹

Step-3: Factors of 16876

List of positive integer factors of 16876 that divides 16876 without a remainder.

1, 2, 4, 4219, 8438

Step-4: Factors of 16883

List of positive integer factors of 16883 that divides 16876 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16876 and 16883. The biggest common factor number is the GCF number.
So the greatest common factor 16876 and 16883 is 1.

Also check out the Least Common Multiple of 16876 and 16883