What is the Greatest Common Factor of 16907 and 16918?

Greatest common factor (GCF) of 16907 and 16918 is 11.

GCF(16907,16918) = 11

We will now calculate the prime factors of 16907 and 16918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16907 and 16918.

How to find the GCF of 16907 and 16918?

We will first find the prime factorization of 16907 and 16918. After we will calculate the factors of 16907 and 16918 and find the biggest common factor number .

Step-1: Prime Factorization of 16907

Prime factors of 16907 are 11, 29, 53. Prime factorization of 16907 in exponential form is:

16907 = 11¹ × 29¹ × 53¹

Step-2: Prime Factorization of 16918

Prime factors of 16918 are 2, 11, 769. Prime factorization of 16918 in exponential form is:

16918 = 2¹ × 11¹ × 769¹

Step-3: Factors of 16907

List of positive integer factors of 16907 that divides 16907 without a remainder.

1, 11, 29, 53, 319, 583, 1537

Step-4: Factors of 16918

List of positive integer factors of 16918 that divides 16907 without a remainder.

1, 2, 11, 22, 769, 1538, 8459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16907 and 16918. The biggest common factor number is the GCF number.
So the greatest common factor 16907 and 16918 is 11.

Also check out the Least Common Multiple of 16907 and 16918