What is the Greatest Common Factor of 3774 and 3794?

Greatest common factor (GCF) of 3774 and 3794 is 2.

GCF(3774,3794) = 2

We will now calculate the prime factors of 3774 and 3794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3774 and 3794.

How to find the GCF of 3774 and 3794?

We will first find the prime factorization of 3774 and 3794. After we will calculate the factors of 3774 and 3794 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 3794

Prime factors of 3794 are 2, 7, 271. Prime factorization of 3794 in exponential form is:

3794 = 2¹ × 7¹ × 271¹

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 3794

List of positive integer factors of 3794 that divides 3774 without a remainder.

1, 2, 7, 14, 271, 542, 1897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3774 and 3794. The biggest common factor number is the GCF number.
So the greatest common factor 3774 and 3794 is 2.

Also check out the Least Common Multiple of 3774 and 3794