What is the Greatest Common Factor of 3757 and 3774?

Greatest common factor (GCF) of 3757 and 3774 is 17.

GCF(3757,3774) = 17

We will now calculate the prime factors of 3757 and 3774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3757 and 3774.

How to find the GCF of 3757 and 3774?

We will first find the prime factorization of 3757 and 3774. After we will calculate the factors of 3757 and 3774 and find the biggest common factor number .

Step-1: Prime Factorization of 3757

Prime factors of 3757 are 13, 17. Prime factorization of 3757 in exponential form is:

3757 = 13¹ × 17²

Step-2: 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-3: Factors of 3757

List of positive integer factors of 3757 that divides 3757 without a remainder.

1, 13, 17, 221, 289

Step-4: Factors of 3774

List of positive integer factors of 3774 that divides 3757 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3757 and 3774. The biggest common factor number is the GCF number.
So the greatest common factor 3757 and 3774 is 17.

Also check out the Least Common Multiple of 3757 and 3774