What is the Greatest Common Factor of 3754 and 3772?

Greatest common factor (GCF) of 3754 and 3772 is 2.

GCF(3754,3772) = 2

We will now calculate the prime factors of 3754 and 3772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3754 and 3772.

How to find the GCF of 3754 and 3772?

We will first find the prime factorization of 3754 and 3772. After we will calculate the factors of 3754 and 3772 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 3772

Prime factors of 3772 are 2, 23, 41. Prime factorization of 3772 in exponential form is:

3772 = 2² × 23¹ × 41¹

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 3772

List of positive integer factors of 3772 that divides 3754 without a remainder.

1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3754 and 3772. The biggest common factor number is the GCF number.
So the greatest common factor 3754 and 3772 is 2.

Also check out the Least Common Multiple of 3754 and 3772