What is the Greatest Common Factor of 16910 and 16929?

Greatest common factor (GCF) of 16910 and 16929 is 19.

GCF(16910,16929) = 19

We will now calculate the prime factors of 16910 and 16929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16910 and 16929.

How to find the GCF of 16910 and 16929?

We will first find the prime factorization of 16910 and 16929. After we will calculate the factors of 16910 and 16929 and find the biggest common factor number .

Step-1: Prime Factorization of 16910

Prime factors of 16910 are 2, 5, 19, 89. Prime factorization of 16910 in exponential form is:

16910 = 2¹ × 5¹ × 19¹ × 89¹

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 16910

List of positive integer factors of 16910 that divides 16910 without a remainder.

1, 2, 5, 10, 19, 38, 89, 95, 178, 190, 445, 890, 1691, 3382, 8455

Step-4: Factors of 16929

List of positive integer factors of 16929 that divides 16910 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 16910 and 16929. The biggest common factor number is the GCF number.
So the greatest common factor 16910 and 16929 is 19.

Also check out the Least Common Multiple of 16910 and 16929