What is the Greatest Common Factor of 3772 and 3788?

Greatest common factor (GCF) of 3772 and 3788 is 4.

GCF(3772,3788) = 4

We will now calculate the prime factors of 3772 and 3788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3772 and 3788.

How to find the GCF of 3772 and 3788?

We will first find the prime factorization of 3772 and 3788. After we will calculate the factors of 3772 and 3788 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3788

Prime factors of 3788 are 2, 947. Prime factorization of 3788 in exponential form is:

3788 = 2² × 947¹

Step-3: Factors of 3772

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

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

Step-4: Factors of 3788

List of positive integer factors of 3788 that divides 3772 without a remainder.

1, 2, 4, 947, 1894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3772 and 3788. The biggest common factor number is the GCF number.
So the greatest common factor 3772 and 3788 is 4.

Also check out the Least Common Multiple of 3772 and 3788