What is the Greatest Common Factor of 3765 and 3771?

Greatest common factor (GCF) of 3765 and 3771 is 3.

GCF(3765,3771) = 3

We will now calculate the prime factors of 3765 and 3771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3765 and 3771.

How to find the GCF of 3765 and 3771?

We will first find the prime factorization of 3765 and 3771. After we will calculate the factors of 3765 and 3771 and find the biggest common factor number .

Step-1: Prime Factorization of 3765

Prime factors of 3765 are 3, 5, 251. Prime factorization of 3765 in exponential form is:

3765 = 3¹ × 5¹ × 251¹

Step-2: Prime Factorization of 3771

Prime factors of 3771 are 3, 419. Prime factorization of 3771 in exponential form is:

3771 = 3² × 419¹

Step-3: Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1, 3, 5, 15, 251, 753, 1255

Step-4: Factors of 3771

List of positive integer factors of 3771 that divides 3765 without a remainder.

1, 3, 9, 419, 1257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3765 and 3771. The biggest common factor number is the GCF number.
So the greatest common factor 3765 and 3771 is 3.

Also check out the Least Common Multiple of 3765 and 3771