What is the Greatest Common Factor of 3754 and 3774?

Greatest common factor (GCF) of 3754 and 3774 is 2.

GCF(3754,3774) = 2

We will now calculate the prime factors of 3754 and 3774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3754 and 3774.

How to find the GCF of 3754 and 3774?

We will first find the prime factorization of 3754 and 3774. After we will calculate the factors of 3754 and 3774 and find the biggest common factor number .

Step-1: Prime Factorization of 3754

Prime factors of 3754 are 2, 1877. Prime factorization of 3754 in exponential form is:

3754 = 2¹ × 1877¹

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 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1, 2, 1877

Step-4: Factors of 3774

List of positive integer factors of 3774 that divides 3754 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 3754 and 3774. The biggest common factor number is the GCF number.
So the greatest common factor 3754 and 3774 is 2.

Also check out the Least Common Multiple of 3754 and 3774