What is the Greatest Common Factor of 3774 and 3786?

Greatest common factor (GCF) of 3774 and 3786 is 6.

GCF(3774,3786) = 6

We will now calculate the prime factors of 3774 and 3786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3774 and 3786.

How to find the GCF of 3774 and 3786?

We will first find the prime factorization of 3774 and 3786. After we will calculate the factors of 3774 and 3786 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 3786

Prime factors of 3786 are 2, 3, 631. Prime factorization of 3786 in exponential form is:

3786 = 2¹ × 3¹ × 631¹

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 3786

List of positive integer factors of 3786 that divides 3774 without a remainder.

1, 2, 3, 6, 631, 1262, 1893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3774 and 3786. The biggest common factor number is the GCF number.
So the greatest common factor 3774 and 3786 is 6.

Also check out the Least Common Multiple of 3774 and 3786