What is the Greatest Common Factor of 3775 and 3788?

Greatest common factor (GCF) of 3775 and 3788 is 1.

GCF(3775,3788) = 1

We will now calculate the prime factors of 3775 and 3788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3775 and 3788.

How to find the GCF of 3775 and 3788?

We will first find the prime factorization of 3775 and 3788. After we will calculate the factors of 3775 and 3788 and find the biggest common factor number .

Step-1: Prime Factorization of 3775

Prime factors of 3775 are 5, 151. Prime factorization of 3775 in exponential form is:

3775 = 5² × 151¹

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 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1, 5, 25, 151, 755

Step-4: Factors of 3788

List of positive integer factors of 3788 that divides 3775 without a remainder.

1, 2, 4, 947, 1894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3775 and 3788. The biggest common factor number is the GCF number.
So the greatest common factor 3775 and 3788 is 1.

Also check out the Least Common Multiple of 3775 and 3788