What is the Greatest Common Factor of 3780 and 3785?

Greatest common factor (GCF) of 3780 and 3785 is 5.

GCF(3780,3785) = 5

We will now calculate the prime factors of 3780 and 3785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3780 and 3785.

How to find the GCF of 3780 and 3785?

We will first find the prime factorization of 3780 and 3785. After we will calculate the factors of 3780 and 3785 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 3785

Prime factors of 3785 are 5, 757. Prime factorization of 3785 in exponential form is:

3785 = 5¹ × 757¹

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 3785

List of positive integer factors of 3785 that divides 3780 without a remainder.

1, 5, 757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3780 and 3785. The biggest common factor number is the GCF number.
So the greatest common factor 3780 and 3785 is 5.

Also check out the Least Common Multiple of 3780 and 3785