What is the Greatest Common Factor of 3774 and 3782?

Greatest common factor (GCF) of 3774 and 3782 is 2.

GCF(3774,3782) = 2

We will now calculate the prime factors of 3774 and 3782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3774 and 3782.

How to find the GCF of 3774 and 3782?

We will first find the prime factorization of 3774 and 3782. After we will calculate the factors of 3774 and 3782 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 3782

Prime factors of 3782 are 2, 31, 61. Prime factorization of 3782 in exponential form is:

3782 = 2¹ × 31¹ × 61¹

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 3782

List of positive integer factors of 3782 that divides 3774 without a remainder.

1, 2, 31, 61, 62, 122, 1891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3774 and 3782. The biggest common factor number is the GCF number.
So the greatest common factor 3774 and 3782 is 2.

Also check out the Least Common Multiple of 3774 and 3782