What is the Greatest Common Factor of 16902 and 16918?

Greatest common factor (GCF) of 16902 and 16918 is 2.

GCF(16902,16918) = 2

We will now calculate the prime factors of 16902 and 16918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16902 and 16918.

How to find the GCF of 16902 and 16918?

We will first find the prime factorization of 16902 and 16918. After we will calculate the factors of 16902 and 16918 and find the biggest common factor number .

Step-1: Prime Factorization of 16902

Prime factors of 16902 are 2, 3, 313. Prime factorization of 16902 in exponential form is:

16902 = 2¹ × 3³ × 313¹

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 16902

List of positive integer factors of 16902 that divides 16902 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 313, 626, 939, 1878, 2817, 5634, 8451

Step-4: Factors of 16918

List of positive integer factors of 16918 that divides 16902 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16902 and 16918. The biggest common factor number is the GCF number.
So the greatest common factor 16902 and 16918 is 2.

Also check out the Least Common Multiple of 16902 and 16918