What is the Greatest Common Factor of 16730 and 16744?

Greatest common factor (GCF) of 16730 and 16744 is 14.

GCF(16730,16744) = 14

We will now calculate the prime factors of 16730 and 16744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16730 and 16744.

How to find the GCF of 16730 and 16744?

We will first find the prime factorization of 16730 and 16744. After we will calculate the factors of 16730 and 16744 and find the biggest common factor number .

Step-1: Prime Factorization of 16730

Prime factors of 16730 are 2, 5, 7, 239. Prime factorization of 16730 in exponential form is:

16730 = 2¹ × 5¹ × 7¹ × 239¹

Step-2: Prime Factorization of 16744

Prime factors of 16744 are 2, 7, 13, 23. Prime factorization of 16744 in exponential form is:

16744 = 2³ × 7¹ × 13¹ × 23¹

Step-3: Factors of 16730

List of positive integer factors of 16730 that divides 16730 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 239, 478, 1195, 1673, 2390, 3346, 8365

Step-4: Factors of 16744

List of positive integer factors of 16744 that divides 16730 without a remainder.

1, 2, 4, 7, 8, 13, 14, 23, 26, 28, 46, 52, 56, 91, 92, 104, 161, 182, 184, 299, 322, 364, 598, 644, 728, 1196, 1288, 2093, 2392, 4186, 8372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16730 and 16744. The biggest common factor number is the GCF number.
So the greatest common factor 16730 and 16744 is 14.

Also check out the Least Common Multiple of 16730 and 16744