What is the Greatest Common Factor of 3744 and 3759?

Greatest common factor (GCF) of 3744 and 3759 is 3.

GCF(3744,3759) = 3

We will now calculate the prime factors of 3744 and 3759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3744 and 3759.

How to find the GCF of 3744 and 3759?

We will first find the prime factorization of 3744 and 3759. After we will calculate the factors of 3744 and 3759 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3759

Prime factors of 3759 are 3, 7, 179. Prime factorization of 3759 in exponential form is:

3759 = 3¹ × 7¹ × 179¹

Step-3: Factors of 3744

List of positive integer factors of 3744 that divides 3744 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

Step-4: Factors of 3759

List of positive integer factors of 3759 that divides 3744 without a remainder.

1, 3, 7, 21, 179, 537, 1253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3744 and 3759. The biggest common factor number is the GCF number.
So the greatest common factor 3744 and 3759 is 3.

Also check out the Least Common Multiple of 3744 and 3759