What is the Greatest Common Factor of 16929 and 16940?

Greatest common factor (GCF) of 16929 and 16940 is 11.

GCF(16929,16940) = 11

We will now calculate the prime factors of 16929 and 16940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16929 and 16940.

How to find the GCF of 16929 and 16940?

We will first find the prime factorization of 16929 and 16940. After we will calculate the factors of 16929 and 16940 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 16940

Prime factors of 16940 are 2, 5, 7, 11. Prime factorization of 16940 in exponential form is:

16940 = 2² × 5¹ × 7¹ × 11²

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 16940

List of positive integer factors of 16940 that divides 16929 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 121, 140, 154, 220, 242, 308, 385, 484, 605, 770, 847, 1210, 1540, 1694, 2420, 3388, 4235, 8470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16929 and 16940. The biggest common factor number is the GCF number.
So the greatest common factor 16929 and 16940 is 11.

Also check out the Least Common Multiple of 16929 and 16940