What is the Greatest Common Factor of 16929 and 16938?

Greatest common factor (GCF) of 16929 and 16938 is 9.

GCF(16929,16938) = 9

We will now calculate the prime factors of 16929 and 16938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16929 and 16938.

How to find the GCF of 16929 and 16938?

We will first find the prime factorization of 16929 and 16938. After we will calculate the factors of 16929 and 16938 and find the biggest common factor number .

Step-1: Prime Factorization of 16929

Prime factors of 16929 are 3, 11, 19. Prime factorization of 16929 in exponential form is:

16929 = 3⁴ × 11¹ × 19¹

Step-2: Prime Factorization of 16938

Prime factors of 16938 are 2, 3, 941. Prime factorization of 16938 in exponential form is:

16938 = 2¹ × 3² × 941¹

Step-3: Factors of 16929

List of positive integer factors of 16929 that divides 16929 without a remainder.

1, 3, 9, 11, 19, 27, 33, 57, 81, 99, 171, 209, 297, 513, 627, 891, 1539, 1881, 5643

Step-4: Factors of 16938

List of positive integer factors of 16938 that divides 16929 without a remainder.

1, 2, 3, 6, 9, 18, 941, 1882, 2823, 5646, 8469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16929 and 16938. The biggest common factor number is the GCF number.
So the greatest common factor 16929 and 16938 is 9.

Also check out the Least Common Multiple of 16929 and 16938