What is the Greatest Common Factor of 3774 and 3784?

Greatest common factor (GCF) of 3774 and 3784 is 2.

GCF(3774,3784) = 2

We will now calculate the prime factors of 3774 and 3784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3774 and 3784.

How to find the GCF of 3774 and 3784?

We will first find the prime factorization of 3774 and 3784. After we will calculate the factors of 3774 and 3784 and find the biggest common factor number .

Step-1: Prime Factorization of 3774

Prime factors of 3774 are 2, 3, 17, 37. Prime factorization of 3774 in exponential form is:

3774 = 2¹ × 3¹ × 17¹ × 37¹

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 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887

Step-4: Factors of 3784

List of positive integer factors of 3784 that divides 3774 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 3774 and 3784. The biggest common factor number is the GCF number.
So the greatest common factor 3774 and 3784 is 2.

Also check out the Least Common Multiple of 3774 and 3784