What is the Greatest Common Factor of 3795 and 3803?

Greatest common factor (GCF) of 3795 and 3803 is 1.

GCF(3795,3803) = 1

We will now calculate the prime factors of 3795 and 3803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3795 and 3803.

How to find the GCF of 3795 and 3803?

We will first find the prime factorization of 3795 and 3803. After we will calculate the factors of 3795 and 3803 and find the biggest common factor number .

Step-1: Prime Factorization of 3795

Prime factors of 3795 are 3, 5, 11, 23. Prime factorization of 3795 in exponential form is:

3795 = 3¹ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 3803

Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:

3803 = 3803¹

Step-3: Factors of 3795

List of positive integer factors of 3795 that divides 3795 without a remainder.

1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265

Step-4: Factors of 3803

List of positive integer factors of 3803 that divides 3795 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3795 and 3803. The biggest common factor number is the GCF number.
So the greatest common factor 3795 and 3803 is 1.

Also check out the Least Common Multiple of 3795 and 3803