What is the Greatest Common Factor of 16744 and 16758?

Greatest common factor (GCF) of 16744 and 16758 is 14.

GCF(16744,16758) = 14

We will now calculate the prime factors of 16744 and 16758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16744 and 16758.

How to find the GCF of 16744 and 16758?

We will first find the prime factorization of 16744 and 16758. After we will calculate the factors of 16744 and 16758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16758

Prime factors of 16758 are 2, 3, 7, 19. Prime factorization of 16758 in exponential form is:

16758 = 2¹ × 3² × 7² × 19¹

Step-3: Factors of 16744

List of positive integer factors of 16744 that divides 16744 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

Step-4: Factors of 16758

List of positive integer factors of 16758 that divides 16744 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 49, 57, 63, 98, 114, 126, 133, 147, 171, 266, 294, 342, 399, 441, 798, 882, 931, 1197, 1862, 2394, 2793, 5586, 8379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16744 and 16758. The biggest common factor number is the GCF number.
So the greatest common factor 16744 and 16758 is 14.

Also check out the Least Common Multiple of 16744 and 16758