What is the Greatest Common Factor of 3780 and 3795?

Greatest common factor (GCF) of 3780 and 3795 is 15.

GCF(3780,3795) = 15

We will now calculate the prime factors of 3780 and 3795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3780 and 3795.

How to find the GCF of 3780 and 3795?

We will first find the prime factorization of 3780 and 3795. After we will calculate the factors of 3780 and 3795 and find the biggest common factor number .

Step-1: Prime Factorization of 3780

Prime factors of 3780 are 2, 3, 5, 7. Prime factorization of 3780 in exponential form is:

3780 = 2² × 3³ × 5¹ × 7¹

Step-2: 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-3: Factors of 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890

Step-4: Factors of 3795

List of positive integer factors of 3795 that divides 3780 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3780 and 3795. The biggest common factor number is the GCF number.
So the greatest common factor 3780 and 3795 is 15.

Also check out the Least Common Multiple of 3780 and 3795