What is the Greatest Common Factor of 16914 and 16929?

Greatest common factor (GCF) of 16914 and 16929 is 3.

GCF(16914,16929) = 3

We will now calculate the prime factors of 16914 and 16929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16914 and 16929.

How to find the GCF of 16914 and 16929?

We will first find the prime factorization of 16914 and 16929. After we will calculate the factors of 16914 and 16929 and find the biggest common factor number .

Step-1: Prime Factorization of 16914

Prime factors of 16914 are 2, 3, 2819. Prime factorization of 16914 in exponential form is:

16914 = 2¹ × 3¹ × 2819¹

Step-2: 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-3: Factors of 16914

List of positive integer factors of 16914 that divides 16914 without a remainder.

1, 2, 3, 6, 2819, 5638, 8457

Step-4: Factors of 16929

List of positive integer factors of 16929 that divides 16914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16914 and 16929. The biggest common factor number is the GCF number.
So the greatest common factor 16914 and 16929 is 3.

Also check out the Least Common Multiple of 16914 and 16929