What is the Greatest Common Factor of 16744 and 16761?

Greatest common factor (GCF) of 16744 and 16761 is 1.

GCF(16744,16761) = 1

We will now calculate the prime factors of 16744 and 16761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16744 and 16761.

How to find the GCF of 16744 and 16761?

We will first find the prime factorization of 16744 and 16761. After we will calculate the factors of 16744 and 16761 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 16761

Prime factors of 16761 are 3, 37, 151. Prime factorization of 16761 in exponential form is:

16761 = 3¹ × 37¹ × 151¹

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 16761

List of positive integer factors of 16761 that divides 16744 without a remainder.

1, 3, 37, 111, 151, 453, 5587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16744 and 16761. The biggest common factor number is the GCF number.
So the greatest common factor 16744 and 16761 is 1.

Also check out the Least Common Multiple of 16744 and 16761