What is the Greatest Common Factor of 3780 and 3793?

Greatest common factor (GCF) of 3780 and 3793 is 1.

GCF(3780,3793) = 1

We will now calculate the prime factors of 3780 and 3793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3780 and 3793.

How to find the GCF of 3780 and 3793?

We will first find the prime factorization of 3780 and 3793. After we will calculate the factors of 3780 and 3793 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 3793

Prime factors of 3793 are 3793. Prime factorization of 3793 in exponential form is:

3793 = 3793¹

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 3793

List of positive integer factors of 3793 that divides 3780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3780 and 3793. The biggest common factor number is the GCF number.
So the greatest common factor 3780 and 3793 is 1.

Also check out the Least Common Multiple of 3780 and 3793