What is the Greatest Common Factor of 16744 and 16757?

Greatest common factor (GCF) of 16744 and 16757 is 13.

GCF(16744,16757) = 13

We will now calculate the prime factors of 16744 and 16757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16744 and 16757.

How to find the GCF of 16744 and 16757?

We will first find the prime factorization of 16744 and 16757. After we will calculate the factors of 16744 and 16757 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 16757

Prime factors of 16757 are 13, 1289. Prime factorization of 16757 in exponential form is:

16757 = 13¹ × 1289¹

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 16757

List of positive integer factors of 16757 that divides 16744 without a remainder.

1, 13, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16744 and 16757. The biggest common factor number is the GCF number.
So the greatest common factor 16744 and 16757 is 13.

Also check out the Least Common Multiple of 16744 and 16757