What is the Greatest Common Factor of 3736 and 3744?

Greatest common factor (GCF) of 3736 and 3744 is 8.

GCF(3736,3744) = 8

We will now calculate the prime factors of 3736 and 3744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3736 and 3744.

How to find the GCF of 3736 and 3744?

We will first find the prime factorization of 3736 and 3744. After we will calculate the factors of 3736 and 3744 and find the biggest common factor number .

Step-1: Prime Factorization of 3736

Prime factors of 3736 are 2, 467. Prime factorization of 3736 in exponential form is:

3736 = 2³ × 467¹

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 3736

List of positive integer factors of 3736 that divides 3736 without a remainder.

1, 2, 4, 8, 467, 934, 1868

Step-4: Factors of 3744

List of positive integer factors of 3744 that divides 3736 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 3736 and 3744. The biggest common factor number is the GCF number.
So the greatest common factor 3736 and 3744 is 8.

Also check out the Least Common Multiple of 3736 and 3744