What is the Greatest Common Factor of 3766 and 3784?

Greatest common factor (GCF) of 3766 and 3784 is 2.

GCF(3766,3784) = 2

We will now calculate the prime factors of 3766 and 3784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3766 and 3784.

How to find the GCF of 3766 and 3784?

We will first find the prime factorization of 3766 and 3784. After we will calculate the factors of 3766 and 3784 and find the biggest common factor number .

Step-1: Prime Factorization of 3766

Prime factors of 3766 are 2, 7, 269. Prime factorization of 3766 in exponential form is:

3766 = 2¹ × 7¹ × 269¹

Step-2: Prime Factorization of 3784

Prime factors of 3784 are 2, 11, 43. Prime factorization of 3784 in exponential form is:

3784 = 2³ × 11¹ × 43¹

Step-3: Factors of 3766

List of positive integer factors of 3766 that divides 3766 without a remainder.

1, 2, 7, 14, 269, 538, 1883

Step-4: Factors of 3784

List of positive integer factors of 3784 that divides 3766 without a remainder.

1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3766 and 3784. The biggest common factor number is the GCF number.
So the greatest common factor 3766 and 3784 is 2.

Also check out the Least Common Multiple of 3766 and 3784