What is the Greatest Common Factor of 3728 and 3744?

Greatest common factor (GCF) of 3728 and 3744 is 16.

GCF(3728,3744) = 16

We will now calculate the prime factors of 3728 and 3744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3728 and 3744.

How to find the GCF of 3728 and 3744?

We will first find the prime factorization of 3728 and 3744. After we will calculate the factors of 3728 and 3744 and find the biggest common factor number .

Step-1: Prime Factorization of 3728

Prime factors of 3728 are 2, 233. Prime factorization of 3728 in exponential form is:

3728 = 2⁴ × 233¹

Step-2: Prime Factorization of 3744

Prime factors of 3744 are 2, 3, 13. Prime factorization of 3744 in exponential form is:

3744 = 2⁵ × 3² × 13¹

Step-3: Factors of 3728

List of positive integer factors of 3728 that divides 3728 without a remainder.

1, 2, 4, 8, 16, 233, 466, 932, 1864

Step-4: Factors of 3744

List of positive integer factors of 3744 that divides 3728 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3728 and 3744. The biggest common factor number is the GCF number.
So the greatest common factor 3728 and 3744 is 16.

Also check out the Least Common Multiple of 3728 and 3744