What is the Greatest Common Factor of 16676 and 16687?

Greatest common factor (GCF) of 16676 and 16687 is 11.

GCF(16676,16687) = 11

We will now calculate the prime factors of 16676 and 16687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16676 and 16687.

How to find the GCF of 16676 and 16687?

We will first find the prime factorization of 16676 and 16687. After we will calculate the factors of 16676 and 16687 and find the biggest common factor number .

Step-1: Prime Factorization of 16676

Prime factors of 16676 are 2, 11, 379. Prime factorization of 16676 in exponential form is:

16676 = 2² × 11¹ × 379¹

Step-2: Prime Factorization of 16687

Prime factors of 16687 are 11, 37, 41. Prime factorization of 16687 in exponential form is:

16687 = 11¹ × 37¹ × 41¹

Step-3: Factors of 16676

List of positive integer factors of 16676 that divides 16676 without a remainder.

1, 2, 4, 11, 22, 44, 379, 758, 1516, 4169, 8338

Step-4: Factors of 16687

List of positive integer factors of 16687 that divides 16676 without a remainder.

1, 11, 37, 41, 407, 451, 1517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16676 and 16687. The biggest common factor number is the GCF number.
So the greatest common factor 16676 and 16687 is 11.

Also check out the Least Common Multiple of 16676 and 16687